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How to Write Linear Equations? (+FREE Worksheet!)

In this article, you learn how to write the equation of the lines by using their slope and one point or using two points on the line.

How to Write Linear Equations? (+FREE Worksheet!)

Related Topics

  • How to Find Midpoint
  • How to Find Slope
  • How to Graph Linear Inequalities
  • How to Find Distance of Two Points
  • How to Graph Lines by Using Standard Form

Step by step guide to writing linear equations

  • The equation of a line in slope intercept form is: \(\color{blue}{y=mx+b}\)
  • Identify the slope.
  • Find the \(y\)–intercept. This can be done by substituting the slope and the coordinates of a point \((x, y)\) on the line.

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Writing linear equations – example 1:.

What is the equation of the line that passes through \((1, -2)\) and has a slope of \(6\)?

The general slope-intercept form of the equation of a line is \(y=mx+b\), where \(m\) is the slope and \(b\) is the \(y\)-intercept. By substitution of the given point and given slope, we have: \(-2=(6)(1)+b → -2=6+b \) So, \(b= -2-6=-8\), and the required equation is \(y=6x-8\).

Writing Linear Equations – Example 2:

Write the equation of the line through \((1, 1)\) and \((-1, 3)\).

Slop \(= \frac{y_{2}- y_{1}}{x_{2} – x_{1} }=\frac{3- 1}{-1- 1}=\frac{2}{-2}=-1 → m=-1\) To find the value of \(b\), you can use either point. The answer will be the same: \(y=-x+b \) \((1,1) →1=-1+b→ 1+1=b → b=2\) \((-1,3)→3=-(-1)+b→3-1=b → b=2\) The equation of the line is: \(y=-x+2\)

Writing Linear Equations – Example 3:

What is the equation of the line that passes through \((2,–2)\) and has a slope of \(7\)?

The general slope-intercept form of the equation of a line is \(y=mx+b\), where \(m\) is the slope and \(b\) is the \(y-\)intercept. By substitution of the given point and given slope, we have: \(-2=(7)(2)+b → -2=14+b \) So, \(b= –2-14=-16\), and the required equation is \(y=7x-16\).

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Writing linear equations – example 4:.

Write the equation of the line through \((2,1)\) and \((-1,4)\).

Slop \(= \frac{y_{2}- y_{1}}{x_{2} – x_{1} }=\frac{4- 1}{-1- 2}=\frac{3}{-3}=-1 → m= -1\) You can use either point to find the value of \(b\). The answer will be the same: \(y= -x+b \) \( (2,1) →1=-2+b→1+2=b → b=3\) \( (-1,4)→4=-(-1)+b→4-1=b → b=3\) The equation of the line is: \(y=-x+3\)

Exercises for Writing Linear Equations

Write the slope–intercept form of the equation of the line through the given points..

  • \(\color{blue}{through: (– 4, – 2), (– 3, 5)}\)
  • \(\color{blue}{through: (5, 4), (– 4, 3) }\)
  • \(\color{blue}{through: (0, – 2), (– 5, 3) }\)
  • \(\color{blue}{through: (– 1, 1), (– 2, 6) }\)
  • \(\color{blue}{through: (0, 3), (– 4, – 1) }\)
  • \(\color{blue}{through: (0, 2), (1, – 3) }\)

Download Writing Linear Equations Worksheet

  • \(\color{blue}{y = 7x + 26}\)
  • \(\color{blue}{y = \frac{1}{9} x + \frac{31}{9}}\)
  • \(\color{blue}{y =\space – x – 2}\)
  • \(\color{blue}{y =\space –5x – 4}\)
  • \(\color{blue}{y = x + 3}\)
  • \(\color{blue}{y =\space – 5x + 2}\)

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Pre-Algebra Exercise Book A Comprehensive Workbook + PreAlgebra Practice Tests

Pre-algebra in 10 days the most effective pre-algebra crash course, college algebra practice workbook the most comprehensive review of college algebra, high school algebra i a comprehensive review and step-by-step guide to mastering high school algebra 1, 10 full length clep college algebra practice tests the practice you need to ace the clep college algebra test.

by: Effortless Math Team about 4 years ago (category: Articles , Free Math Worksheets )

Effortless Math Team

Related to this article, more math articles.

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2.4 Writing Linear Equations

  • Write a linear equation in slope-intercept form from a table and word problem
  • Evaluate a linear expression by plugging in a given x-value.
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  • Evaluate fee structures of checking accounts
  • 13b: Discuss the costs and benefits of using alternative financial services relative to traditional banking
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2 4 homework writing linear equations

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2.4E: Exercises

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Practice Makes Perfect

Solve Equations Using the General Strategy for Solving Linear Equations

In the following exercises, solve each linear equation.

Exercise \(\PageIndex{1}\)

\(15(y-9)=-60\)

Exercise \(\PageIndex{2}\)

\(21(y-5)=-42\)

Exercise \(\PageIndex{3}\)

\(-9(2 n+1)=36\)

Exercise \(\PageIndex{4}\)

\(-16(3 n+4)=32\)

Exercise \(\PageIndex{5}\)

\(8(22+11 r)=0\)

Exercise \(\PageIndex{6}\)

\(5(8+6 p)=0\)

\(p=-\frac{4}{3}\)

Exercise \(\PageIndex{7}\)

\(-(w-12)=30\)

Exercise \(\PageIndex{8}\)

\(-(t-19)=28\)

Exercise \(\PageIndex{9}\)

\(9(6 a+8)+9=81\)

Exercise \(\PageIndex{10}\)

\(8(9 b-4)-12=100\)

Exercise \(\PageIndex{11}\)

\(32+3(z+4)=41\)

Exercise \(\PageIndex{12}\)

\(21+2(m-4)=25\)

Exercise \(\PageIndex{13}\)

\(51+5(4-q)=56\)

Exercise \(\PageIndex{14}\)

\(-6+6(5-k)=15\)

\(k=\frac{3}{2}\)

Exercise \(\PageIndex{15}\)

\(2(9 s-6)-62=16\)

Exercise \(\PageIndex{16}\)

\(8(6 t-5)-35=-27\)

Exercise \(\PageIndex{17}\)

\(3(10-2 x)+54=0\)

Exercise \(\PageIndex{18}\)

\(-2(11-7 x)+54=4\)

Exercise \(\PageIndex{19}\)

\(\frac{2}{3}(9 c-3)=22\)

Exercise \(\PageIndex{20}\)

\(\frac{3}{5}(10 x-5)=27\)

Exercise \(\PageIndex{21}\)

\(\frac{1}{5}(15 c+10)=c+7\)

Exercise \(\PageIndex{22}\)

\(\frac{1}{4}(20 d+12)=d+7\)

Exercise \(\PageIndex{23}\)

\(18-(9 r+7)=-16\)

Exercise \(\PageIndex{24}\)

\(15-(3 r+8)=28\)

Exercise \(\PageIndex{25}\)

\(5-(n-1)=19\)

Exercise \(\PageIndex{26}\)

\(-3-(m-1)=13\)

Exercise \(\PageIndex{27}\)

\(11-4(y-8)=43\)

Exercise \(\PageIndex{28}\)

\(18-2(y-3)=32\)

Exercise \(\PageIndex{29}\)

\(24-8(3 v+6)=0\)

Exercise \(\PageIndex{30}\)

\(35-5(2 w+8)=-10\)

\(w=\frac{1}{2}\)

Exercise \(\PageIndex{31}\)

\(4(a-12)=3(a+5)\)

Exercise \(\PageIndex{32}\)

\(-2(a-6)=4(a-3)\)

Exercise \(\PageIndex{33}\)

\(2(5-u)=-3(2 u+6)\)

Exercise \(\PageIndex{34}\)

\(5(8-r)=-2(2 r-16)\)

Exercise \(\PageIndex{35}\)

\(3(4 n-1)-2=8 n+3\)

Exercise \(\PageIndex{36}\)

\(9(2 m-3)-8=4 m+7\)

Exercise \(\PageIndex{37}\)

\(12+2(5-3 y)=-9(y-1)-2\)

Exercise \(\PageIndex{38}\)

\(-15+4(2-5 y)=-7(y-4)+4\)

Exercise \(\PageIndex{39}\)

\(8(x-4)-7 x=14\)

Exercise \(\PageIndex{40}\)

\(5(x-4)-4 x=14\)

Exercise \(\PageIndex{41}\)

\(5+6(3 s-5)=-3+2(8 s-1)\)

Exercise \(\PageIndex{42}\)

\(-12+8(x-5)=-4+3(5 x-2)\)

Exercise \(\PageIndex{43}\)

\(4(u-1)-8=6(3 u-2)-7\)

Exercise \(\PageIndex{44}\)

\(7(2 n-5)=8(4 n-1)-9\)

Exercise \(\PageIndex{45}\)

\(4(p-4)-(p+7)=5(p-3)\)

Exercise \(\PageIndex{46}\)

\(3(a-2)-(a+6)=4(a-1)\)

Exercise \(\PageIndex{47}\)

\(\begin{array}{l}{-(9 y+5)-(3 y-7)} \\ {=16-(4 y-2)}\end{array}\)

Exercise \(\PageIndex{48}\)

\(\begin{array}{l}{-(7 m+4)-(2 m-5)} \\ {=14-(5 m-3)}\end{array}\)

Exercise \(\PageIndex{49}\)

\(\begin{array}{l}{4[5-8(4 c-3)]} \\ {=12(1-13 c)-8}\end{array}\)

Exercise \(\PageIndex{50}\)

\(\begin{array}{l}{5[9-2(6 d-1)]} \\ {=11(4-10 d)-139}\end{array}\)

Exercise \(\PageIndex{51}\)

\(\begin{array}{l}{3[-9+8(4 h-3)]} \\ {=2(5-12 h)-19}\end{array}\)

Exercise \(\PageIndex{52}\)

\(\begin{array}{l}{3[-14+2(15 k-6)]} \\ {=8(3-5 k)-24}\end{array}\)

\(k=\frac{3}{5}\)

Exercise \(\PageIndex{53}\)

\(\begin{array}{l}{5[2(m+4)+8(m-7)]} \\ {=2[3(5+m)-(21-3 m)]}\end{array}\)

Exercise \(\PageIndex{54}\)

\(\begin{array}{l}{10[5(n+1)+4(n-1)]} \\ {=11[7(5+n)-(25-3 n)]}\end{array}\)

Exercise \(\PageIndex{55}\)

\(5(1.2 u-4.8)=-12\)

Exercise \(\PageIndex{56}\)

\(4(2.5 v-0.6)=7.6\)

Exercise \(\PageIndex{57}\)

\(0.25(q-6)=0.1(q+18)\)

Exercise \(\PageIndex{58}\)

\(0.2(p-6)=0.4(p+14)\)

Exercise \(\PageIndex{59}\)

\(0.2(30 n+50)=28\)

Exercise \(\PageIndex{60}\)

\(0.5(16 m+34)=-15\)

Classify Equations

In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution.

Exercise \(\PageIndex{61}\)

\(23 z+19=3(5 z-9)+8 z+46\)

Exercise \(\PageIndex{62}\)

\(15 y+32=2(10 y-7)-5 y+46\)

identity; all real numbers

Exercise \(\PageIndex{63}\)

\(5(b-9)+4(3 b+9)=6(4 b-5)-7 b+21\)

Exercise \(\PageIndex{64}\)

\(9(a-4)+3(2 a+5)=7(3 a-4)-6 a+7\)

Exercise \(\PageIndex{65}\)

\(18(5 j-1)+29=47\)

Exercise \(\PageIndex{66}\)

\(24(3 d-4)+100=52\)

conditional equation; \(d=\frac{2}{3}\)

Exercise \(\PageIndex{67}\)

\(22(3 m-4)=8(2 m+9)\)

Exercise \(\PageIndex{68}\)

\(30(2 n-1)=5(10 n+8)\)

conditional equation; \(n=7\)

Exercise \(\PageIndex{69}\)

\(7 v+42=11(3 v+8)-2(13 v-1)\)

Exercise \(\PageIndex{70}\)

\(18 u-51=9(4 u+5)-6(3 u-10)\)

contradiction; no solution

Exercise \(\PageIndex{71}\)

\(3(6 q-9)+7(q+4)=5(6 q+8)-5(q+1)\)

Exercise \(\PageIndex{72}\)

\(5(p+4)+8(2 p-1)=9(3 p-5)-6(p-2)\)

Exercise \(\PageIndex{73}\)

\(12(6 h-1)=8(8 h+5)-4\)

Exercise \(\PageIndex{74}\)

\(9(4 k-7)=11(3 k+1)+4\)

conditional equation; \(k=26\)

Exercise \(\PageIndex{75}\)

\(45(3 y-2)=9(15 y-6)\)

Exercise \(\PageIndex{76}\)

\(60(2 x-1)=15(8 x+5)\)

Exercise \(\PageIndex{77}\)

\(16(6 n+15)=48(2 n+5)\)

Exercise \(\PageIndex{78}\)

\(36(4 m+5)=12(12 m+15)\)

Exercise \(\PageIndex{79}\)

\(9(14 d+9)+4 d=13(10 d+6)+3\)

Exercise \(\PageIndex{80}\)

\(11(8 c+5)-8 c=2(40 c+25)+5\)

Everyday Math

Exercise \(\pageindex{81}\).

Fencing Micah has 44 feet of fencing to make a dog run in his yard. He wants the length to be 2.5 feet more than the width. Find the length, L , by solving the equation 2L+2(L−2.5)=44.

Exercise \(\PageIndex{82}\)

Coins Rhonda has \(\$ 1.90\) in nickels and dimes. The number of dimes is one less than twice the number of nickels. Find the number of nickels, \(n,\) by solving the equation \(0.05 n+0.10(2 n-1)=1.90 .\)

Writing Exercises

Exercise \(\pageindex{83}\).

Using your own words, list the steps in the general strategy for solving linear equations.

Exercise \(\PageIndex{84}\)

Explain why you should simplify both sides of an equation as much as possible before collecting the variable terms to one side and the constant terms to the other side.

Answers will vary.

Exercise \(\PageIndex{85}\)

What is the first step you take when solving the equation \(3-7(y-4)=38 ?\) Why is this your first step?

Exercise \(\PageIndex{86}\)

Solve the equation \(\frac{1}{4}(8 x+20)=3 x-4\) explaining all the steps of your solution as in the examples in this section.

ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objective of this section.

This is a table that has three rows and four columns. In the first row, which is a header row, the cells read from left to right: “I can…,” “confidently,” “with some help,” and “no-I don’t get it!” The first column below “I can…” reads: “solve equations using the general strategy for solving linear equations,” and “classify equations.” The rest of the cells are blank.

ⓑ On a scale of 1-10, how would you rate your mastery of this section in light of your responses on the checklist? How can you improve this?

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Chapter 3: Graphing

3.4 Graphing Linear Equations

There are two common procedures that are used to draw the line represented by a linear equation. The first one is called the slope-intercept method and involves using the slope and intercept given in the equation.

If the equation is given in the form [latex]y = mx + b[/latex], then [latex]m[/latex] gives the rise over run value and the value [latex]b[/latex] gives the point where the line crosses the [latex]y[/latex]-axis, also known as the [latex]y[/latex]-intercept.

Example 3.4.1

Given the following equations, identify the slope and the [latex]y[/latex]-intercept.

  • [latex]\begin{array}{lll} y = 2x - 3\hspace{0.14in} & \text{Slope }(m)=2\hspace{0.1in}&y\text{-intercept } (b)=-3 \end{array}[/latex]
  • [latex]\begin{array}{lll} y = \dfrac{1}{2}x - 1\hspace{0.08in} & \text{Slope }(m)=\dfrac{1}{2}\hspace{0.1in}&y\text{-intercept } (b)=-1 \end{array}[/latex]
  • [latex]\begin{array}{lll} y = -3x + 4 & \text{Slope }(m)=-3 &y\text{-intercept } (b)=4 \end{array}[/latex]
  • [latex]\begin{array}{lll} y = \dfrac{2}{3}x\hspace{0.34in} & \text{Slope }(m)=\dfrac{2}{3}\hspace{0.1in} &y\text{-intercept } (b)=0 \end{array}[/latex]

When graphing a linear equation using the slope-intercept method, start by using the value given for the [latex]y[/latex]-intercept. After this point is marked, then identify other points using the slope.

This is shown in the following example.

Example 3.4.2

Graph the equation [latex]y = 2x - 3[/latex].

First, place a dot on the [latex]y[/latex]-intercept, [latex]y = -3[/latex], which is placed on the coordinate [latex](0, -3).[/latex]

image

Now, place the next dot using the slope of 2.

A slope of 2 means that the line rises 2 for every 1 across.

Simply, [latex]m = 2[/latex] is the same as [latex]m = \dfrac{2}{1}[/latex], where [latex]\Delta y = 2[/latex] and [latex]\Delta x = 1[/latex].

Placing these points on the graph becomes a simple counting exercise, which is done as follows:

For m = 2, go up 2 and forward 1 from each point.

Once several dots have been drawn, draw a line through them, like so:

image

Note that dots can also be drawn in the reverse of what has been drawn here.

Slope is 2 when rise over run is [latex]\dfrac{2}{1}[/latex] or [latex]\dfrac{-2}{-1}[/latex], which would be drawn as follows:

For m = 2, go down 2 and back 1 from each point.

Example 3.4.3

Graph the equation [latex]y = \dfrac{2}{3}x[/latex].

First, place a dot on the [latex]y[/latex]-intercept, [latex](0, 0)[/latex].

Now, place the dots according to the slope, [latex]\dfrac{2}{3}[/latex].

When m = 2 over 3, go up 2 and forward 3 to get the next point.

This will generate the following set of dots on the graph. All that remains is to draw a line through the dots.

Line with slope 2 over 3. Passes through (−3, −2), (0, 0), (3, 2), and (6, 4).

The second method of drawing lines represented by linear equations and functions is to identify the two intercepts of the linear equation. Specifically, find [latex]x[/latex] when [latex]y = 0[/latex] and find [latex]y[/latex] when [latex]x = 0[/latex].

Example 3.4.4

Graph the equation [latex]2x + y = 6[/latex].

To find the first coordinate, choose [latex]x = 0[/latex].

This yields:

[latex]\begin{array}{lllll} 2(0)&+&y&=&6 \\ &&y&=&6 \end{array}[/latex]

Coordinate is [latex](0, 6)[/latex].

Now choose [latex]y = 0[/latex].

[latex]\begin{array}{llrll} 2x&+&0&=&6 \\ &&2x&=&6 \\ &&x&=&\frac{6}{2} \text{ or } 3 \end{array}[/latex]

Coordinate is [latex](3, 0)[/latex].

Draw these coordinates on the graph and draw a line through them.

image

Example 3.4.5

Graph the equation [latex]x + 2y = 4[/latex].

[latex]\begin{array}{llrll} (0)&+&2y&=&4 \\ &&y&=&\frac{4}{2} \text{ or } 2 \end{array}[/latex]

Coordinate is [latex](0, 2)[/latex].

[latex]\begin{array}{llrll} x&+&2(0)&=&4 \\ &&x&=&4 \end{array}[/latex]

Coordinate is [latex](4, 0)[/latex].

image

Example 3.4.6

Graph the equation [latex]2x + y = 0[/latex].

[latex]\begin{array}{llrll} 2(0)&+&y&=&0 \\ &&y&=&0 \end{array}[/latex]

Coordinate is [latex](0, 0)[/latex].

Since the intercept is [latex](0, 0)[/latex], finding the other intercept yields the same coordinate. In this case, choose any value of convenience.

Choose [latex]x = 2[/latex].

[latex]\begin{array}{rlrlr} 2(2)&+&y&=&0 \\ 4&+&y&=&0 \\ -4&&&&-4 \\ \hline &&y&=&-4 \end{array}[/latex]

Coordinate is [latex](2, -4)[/latex].

image

For questions 1 to 10, sketch each linear equation using the slope-intercept method.

  • [latex]y = -\dfrac{1}{4}x - 3[/latex]
  • [latex]y = \dfrac{3}{2}x - 1[/latex]
  • [latex]y = -\dfrac{5}{4}x - 4[/latex]
  • [latex]y = -\dfrac{3}{5}x + 1[/latex]
  • [latex]y = -\dfrac{4}{3}x + 2[/latex]
  • [latex]y = \dfrac{5}{3}x + 4[/latex]
  • [latex]y = \dfrac{3}{2}x - 5[/latex]
  • [latex]y = -\dfrac{2}{3}x - 2[/latex]
  • [latex]y = -\dfrac{4}{5}x - 3[/latex]
  • [latex]y = \dfrac{1}{2}x[/latex]

For questions 11 to 20, sketch each linear equation using the [latex]x\text{-}[/latex] and [latex]y[/latex]-intercepts.

  • [latex]x + 4y = -4[/latex]
  • [latex]2x - y = 2[/latex]
  • [latex]2x + y = 4[/latex]
  • [latex]3x + 4y = 12[/latex]
  • [latex]4x + 3y = -12[/latex]
  • [latex]x + y = -5[/latex]
  • [latex]3x + 2y = 6[/latex]
  • [latex]x - y = -2[/latex]
  • [latex]4x - y = -4[/latex]

For questions 21 to 28, sketch each linear equation using any method.

  • [latex]y = -\dfrac{1}{2}x + 3[/latex]
  • [latex]y = 2x - 1[/latex]
  • [latex]y = -\dfrac{5}{4}x[/latex]
  • [latex]y = -3x + 2[/latex]
  • [latex]y = -\dfrac{3}{2}x + 1[/latex]
  • [latex]y = \dfrac{1}{3}x - 3[/latex]
  • [latex]y = \dfrac{3}{2}x + 2[/latex]
  • [latex]y = 2x - 2[/latex]

For questions 29 to 40, reduce and sketch each linear equation using any method.

  • [latex]y + 3 = -\dfrac{4}{5}x + 3[/latex]
  • [latex]y - 4 = \dfrac{1}{2}x[/latex]
  • [latex]x + 5y = -3 + 2y[/latex]
  • [latex]3x - y = 4 + x - 2y[/latex]
  • [latex]4x + 3y = 5 (x + y)[/latex]
  • [latex]3x + 4y = 12 - 2y[/latex]
  • [latex]2x - y = 2 - y \text{ (tricky)}[/latex]
  • [latex]7x + 3y = 2(2x + 2y) + 6[/latex]
  • [latex]x + y = -2x + 3[/latex]
  • [latex]3x + 4y = 3y + 6[/latex]
  • [latex]2(x + y) = -3(x + y) + 5[/latex]
  • [latex]9x - y = 4x + 5[/latex]

Answer Key 3.4

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2 4 homework writing linear equations

Chapter 2, Lesson 4: Writing Linear Equations

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Unit 4: Linear equations and linear systems

Lesson 3: balanced moves.

  • Intro to equations with variables on both sides (Opens a modal)
  • Equations with variables on both sides: 20-7x=6x-6 (Opens a modal)
  • Equations with variables on both sides Get 3 of 4 questions to level up!

Lesson 4: More balanced moves

  • Equations with parentheses (Opens a modal)
  • Equations with parentheses Get 3 of 4 questions to level up!

Lesson 5: Solving any linear equation

  • Multi-step equations review (Opens a modal)

Lesson 6: Strategic solving

  • No videos or articles available in this lesson
  • Equations with variables on both sides: decimals & fractions Get 3 of 4 questions to level up!
  • Equations with parentheses: decimals & fractions Get 3 of 4 questions to level up!

Extra practice: Linear equations

  • Sums of consecutive integers (Opens a modal)
  • Sum of integers challenge (Opens a modal)
  • Equation practice with vertical angles (Opens a modal)
  • Equation practice with complementary angles (Opens a modal)
  • Equation practice with supplementary angles (Opens a modal)
  • Sums of consecutive integers Get 3 of 4 questions to level up!
  • Equation practice with vertical angles Get 3 of 4 questions to level up!
  • Equation practice with angle addition Get 3 of 4 questions to level up!

Lesson 7: All, some, or no solutions

  • Creating an equation with no solutions (Opens a modal)
  • Creating an equation with infinitely many solutions (Opens a modal)
  • Number of solutions to equations challenge Get 3 of 4 questions to level up!

Lesson 8: How many solutions?

  • Number of solutions to equations (Opens a modal)
  • Worked example: number of solutions to equations (Opens a modal)
  • Number of solutions to equations Get 3 of 4 questions to level up!

Lesson 9: When are they the same?

  • Age word problem: Imran (Opens a modal)
  • Age word problem: Ben & William (Opens a modal)
  • Age word problem: Arman & Diya (Opens a modal)
  • Age word problems Get 3 of 4 questions to level up!

Lesson 10: On or off the line?

  • Solutions of systems of equations Get 3 of 4 questions to level up!

Lesson 12: Systems of equations

  • Systems of equations: trolls, tolls (1 of 2) (Opens a modal)
  • Systems of equations: trolls, tolls (2 of 2) (Opens a modal)
  • Systems of equations with graphing (Opens a modal)
  • Systems of equations with graphing: y=7/5x-5 & y=3/5x-1 (Opens a modal)
  • Systems of equations with graphing Get 3 of 4 questions to level up!
  • Number of solutions to a system of equations graphically Get 3 of 4 questions to level up!

Lesson 13: Solving systems of equations

  • Systems of equations with substitution: y=-1/4x+100 & y=-1/4x+120 (Opens a modal)
  • Number of solutions to a system of equations graphically (Opens a modal)
  • Number of solutions to system of equations review (Opens a modal)
  • Number of solutions to a system of equations algebraically Get 3 of 4 questions to level up!

Lesson 14: Solving more systems

  • Systems of equations with substitution: 2y=x+7 & x=y-4 (Opens a modal)
  • Systems of equations with substitution (Opens a modal)
  • Systems of equations with substitution: y=4x-17.5 & y+2x=6.5 (Opens a modal)
  • Systems of equations with substitution: y=-5x+8 & 10x+2y=-2 (Opens a modal)
  • Substitution method review (systems of equations) (Opens a modal)
  • Systems of equations with substitution Get 3 of 4 questions to level up!

Lesson 16: Solving problems with systems of equations

  • System of equations word problem: no solution (Opens a modal)
  • Systems of equations with substitution: coins (Opens a modal)
  • Systems of equations word problems Get 3 of 4 questions to level up!

IMAGES

  1. Writing Linear Equations Given Two Points

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  2. Linear Equations Worksheets with Answer Key

    2 4 homework writing linear equations

  3. Lesson 2-4, writing linear equations

    2 4 homework writing linear equations

  4. Linear Equations Worksheets with Answer Key

    2 4 homework writing linear equations

  5. 2 4 Writing Linear Equations

    2 4 homework writing linear equations

  6. Unit Linear Equations Homework 1 Simplifying Expressions Answer Key

    2 4 homework writing linear equations

VIDEO

  1. Two ways on writing a Linear Function

  2. How to Do Linear Equations in Two Steps or Less #shorts

  3. B06.1: Writing Linear Equations in Slope-Intercept Form

  4. Video 3: Re-writing Linear Equations

  5. Math 7 2 4 Homework Help Morgan

  6. Writing Linear Equations in Function form.avi

COMMENTS

  1. PDF 2-4 Writing Linear Equations

    2-4 Writing Linear Equations - Practice and Problem Solving 8. 14. 16. ... (4, 2), perpendicular to y = Write an equation in slope-intercept form for the line that satisfies each set of conditions. Substitute = (—4, 12) and (X2,Y2) = (—2, —4) in the slope formula m =

  2. PDF Unit 4a

    Unit 4: Linear Equations Homework 8: Writing Linear Equations REVIEW Direcüons: Write the linear equation in slope-intercept form given the following: 1. slope = Z; ... Unit 4: Linear Equations Homework 10: Parallel & Perpendicular Lines (Day 2) Write an equation passing through the point and PARALLEL to the given line. + 6 5.1 =

  3. PDF NAME DATE PERIOD 2-4 Skills Practice

    Chapter 2 25 Glencoe Algebra 2 2-4 Skills Practice Writing Linear Equations Write an equation in slope-intercept form for the line described. 1. slope 3, y-intercept at -4 2. perpendicular to y = 1 2 - 1, x-intercept at 4 3. parallel to y = 2 3 x + 6, 4. parallel to y = - 1 4 x - 2, passes through (6, 7) x-intercept at 4 Ü 5.

  4. Quiz 4: Writing Linear Equations Flashcards

    We have an expert-written solution to this problem! Quiz 4: Writing Linear Equations. an open sentence whose graph is a line; the general form for such an equation is Ax + By + C = 0. Click the card to flip 👆. linear equation.

  5. Writing linear equations in all forms (video)

    Well, say the equation is 8x -2y =24. To graph, you must plug in 0 for either x or y to get the y- or x-intercept. So in the equation that I said, let's find the y-intercept first. You would plug in 0 for x. So the equation would be 8*0 -2y =24, or -2y =24. Then you can solve it like a regular equation and you would get y =-12.

  6. 2.4: Graphing Linear Equations- Answers to the Homework Exercises

    y = −2x + 5 y = − 2 x + 5. This page titled 2.4: Graphing Linear Equations- Answers to the Homework Exercises is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Darlene Diaz ( ASCCC Open Educational Resources Initiative) via source content that was edited to the style and standards of the LibreTexts ...

  7. Linear equations, functions, & graphs

    This topic covers: - Intercepts of linear equations/functions - Slope of linear equations/functions - Slope-intercept, point-slope, & standard forms - Graphing linear equations/functions - Writing linear equations/functions - Interpreting linear equations/functions - Linear equations/functions word problems

  8. Math 1

    2-5 Writing Linear Functions Homework. 2-5 Writing and Interpreting Functions ANSWERS. 2-5 Writing and Interpreting Functions. 2-4 Homework ANSWERS. 2-4 Homework. 2-4 Writing Linear Equations ANSWERS. 2-4 Writing Linear Equations. 2-3 Function Notation Practice 2 ANSWERS. 2-3 Function Notation Practice 2.

  9. 2.4: Solving Linear Equations- Part II

    Step 2: Use the appropriate properties of equality to combine opposite-side like terms with the variable term on one side of the equation and the constant term on the other. Step 3: Divide or multiply as needed to isolate the variable. Step 4: Check to see if the answer solves the original equation.

  10. How to Write Linear Equations? (+FREE Worksheet!)

    Writing Linear Equations Write the slope-intercept form of the equation of the line through the given points. \(\color{blue}{through: (- 4, - 2), (- 3, 5)}\)

  11. PDF 2.4 Writing Linear Equations

    Algebra 2 2.4 Writing Linear Equations. Find the slope-intercept form of an equation of the line that has a slope of 2 and passes through (-1, 3). Find the slope-intercept form of an equation that has x-intercept = 2 and y-intercept = 4. (c) Write an equation in point slope form through the point (1,2) with a slope of 4.

  12. 2.4 Writing Linear Equations

    4. Write an equation to model the number of squares, y, that are in figure x. Learn It. Linear Equations in Slope-Intercept Form. When something changes at a constant rate, like the pattern from the intro activity above, we can write a linear equation to model how it changes. In this activity, you'll learn how to write linear equations using ...

  13. Writing Linear Equations 2 Flashcards

    Writing Linear Equations 2. Get a hint. Click the card to flip 👆. y = 2x + 4. Click the card to flip 👆. 1 / 21.

  14. 2.4E: Exercises

    Using your own words, list the steps in the general strategy for solving linear equations. Exercise \(\PageIndex{84}\) Explain why you should simplify both sides of an equation as much as possible before collecting the variable terms to one side and the constant terms to the other side.

  15. 3.4 Graphing Linear Equations

    3.4 Graphing Linear Equations. There are two common procedures that are used to draw the line represented by a linear equation. The first one is called the slope-intercept method and involves using the slope and intercept given in the equation. If the equation is given in the form y = mx+b y = m x + b, then m m gives the rise over run value and ...

  16. 2.4 Writing Linear Equations Practice

    2.4 Writing Linear Equations Practice - Free download as PDF File (.pdf), Text File (.txt) or read online for free.

  17. 2.2 Linear Functions and 2.4 Writing Linear Equations

    2.4 Writing Linear Equations Notes for 9-20-16: File Size: 1393 kb: ... Slope-Intercept Form, and Point-Slope Form. We also wrote equations for parallel and perpendicular lines. Homework: Practice 2.4 # (1-17) ODD. Practice 2.4: File Size: 158 kb: File Type: docx: Download File. Writing Linear Equations Notes for 9-21-16: File Size: 771 kb:

  18. Algebra 2: Chapter 2 Section 4: Writing Linear Equations

    Algebra 2: Chapter 2 Section 4: Writing Linear Equations. Flashcards. Learn. Test. Match. Flashcards. Learn. Test. Match. Created by. kaync2. Terms in this set (7) Slope-Intercept Form. y = mx + b. Point-slope Form. ... Example: If m = 1/4, the parallel lines slope is -4/1 A vertical line and a horizontal line are perpendicular. Slope of ...

  19. UNIT 4: WRITING LINEAR EQUATIONS

    4.3 Writing Linear Equations in Point Slope Form. 4.3 Notes on Point Slope Form. Download File. 4.3_write_equations_in_point_slope_form_hw-1.pdf. Download File.

  20. Writing Linear Equations

    For a complete lesson on writing linear equations, go to https://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every ...

  21. Chapter 2, Lesson 4: Writing Linear Equations

    Hotmath Homework Help Math Review Math Tools Multilingual Glossary Online Calculators Study to Go. Mathematics. Home > Chapter 2 > Lesson 4. Algebra 2. Chapter 2, Lesson 4: Writing Linear Equations. Extra Examples; Personal Tutor; Self-Check Quizzes;

  22. Linear equations and linear systems

    Linear equations and linear systems: Unit test; Lesson 3: Balanced moves. Learn. Intro to equations with variables on both sides (Opens a modal) Equations with variables on both sides: 20-7x=6x-6 (Opens a modal) Practice. Equations with variables on both sides Get 3 of 4 questions to level up!

  23. PDF WWriting Linear Equationsriting Linear Equations

    Given a point on a line and the slope of the line, you can write an equation of the line. — 5 . Write the slope-intercept form. 3 Substitute for m, −5 for x, and — 5 6 for y. Simplify. Solve for b. 9. = m(x − x 1) is in point-slope form. The line passes through the point (x 1, y 1), and the slope of the line is m.