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Writing Equation of a Line from a Graph - Printable Mathematics Worksheets - Wayground

Writing Equation of a Line from a Graph

10 questions

6th - 8th Grade

Mathematics

Writing Equation of a Line from a Graph is a mathematics worksheet for students in Grades 6–8. It contains 10 multiple-choice questions that ask students to examine a graph and select the equation that represents the line. The repeated graph-to-equation format gives learners focused practice connecting a visual representation of a line with its symbolic equation. Use this free printable worksheet with an answer key for independent practice, a guided review, or a quick formative assessment. Students must attend to the information shown by each graph and compare it with the equations provided, strengthening their ability to identify the equation that matches a line rather than relying on a single visual feature. The worksheet is also useful for reviewing whether students can move from a graphical representation to an algebraic one in a concise, accessible format.

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Worksheets

Writing Equation of a Line from a Graph

Total questions: 10

Name
Class
Date
1.

Write the equation of the graph.

a)

y=2x+3y=2x+3

b)

y=−2x−3y=-2x-3

c)

y=12x+3y=\frac{1}{2}x+3

d)

y=−12x−3y=-\frac{1}{2}x-3

2.

Write the equation of the graph

a)

y=3x+2y=3x+2

b)

y=−3x+2y=-3x+2

c)

y=13x+2y=\frac{1}{3}x+2

d)

y=−13x+2y=-\frac{1}{3}x+2

3.

Write the equation of a graph.

a)

y=3x+3y=3x+3

b)

y=−3x+3y=-3x+3

c)

y=3x−3y=3x-3

d)

y=−3x−3y=-3x-3

4.

Write the equation of the graph.

a)

y=65x+2y=\frac{6}{5}x+2

b)

y=−65x+2y=-\frac{6}{5}x+2

c)

y=56x+2y=\frac{5}{6}x+2

d)

y=−56x+2y=-\frac{5}{6}x+2

5.

Write the equation of a graph.

a)

y=−23x−2y=-\frac{2}{3}x-2

b)

y=23x−2y=\frac{2}{3}x-2

c)

y=32x−2y=\frac{3}{2}x-2

d)

y=−32x−2y=-\frac{3}{2}x-2

6.

Write the equation of the graph.

a)

y=2x+2y=2x+2

b)

y=−2x+2y=-2x+2

c)

y=2x−2y=2x-2

d)

y=−2x−2y=-2x-2

7.

Write the equation of the graph.

a)

y=73x+4y=\frac{7}{3}x+4

b)

y=−73x+4y=-\frac{7}{3}x+4

c)

y=37x+4y=\frac{3}{7}x+4

d)

y=−37x+4y=-\frac{3}{7}x+4

8.

Write the equation of the graph.

a)

y=3x−4y=3x-4

b)

y=13x−4y=\frac{1}{3}x-4

c)

y=−3x−4y=-3x-4

d)

y=−13x−4y=-\frac{1}{3}x-4

9.

Write the equation of the graph.

a)

y=32x+1y=\frac{3}{2}x+1

b)

y=−32x+1y=-\frac{3}{2}x+1

c)

y=23x+1y=\frac{2}{3}x+1

d)

y=−23x+1y=-\frac{2}{3}x+1

10.

Write the equation of the graph.

a)

y=2x−3y=2x-3

b)

y=−2x−3y=-2x-3

c)

y=12x−3y=\frac{1}{2}x-3

d)

y=−12x−3y=-\frac{1}{2}x-3

Answer Key

Writing Equation of a Line from a Graph

Total questions: 10

1.
c)

y=12x+3y=\frac{1}{2}x+3

2.
a)

y=3x+2y=3x+2

3.
d)

y=−3x−3y=-3x-3

4.
b)

y=−65x+2y=-\frac{6}{5}x+2

5.
a)

y=−23x−2y=-\frac{2}{3}x-2

6.
c)

y=2x−2y=2x-2

7.
b)

y=−73x+4y=-\frac{7}{3}x+4

8.
b)

y=13x−4y=\frac{1}{3}x-4

9.
c)

y=23x+1y=\frac{2}{3}x+1

10.
d)

y=−12x−3y=-\frac{1}{2}x-3

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FAQs

What does the Writing Equation of a Line from a Graph worksheet cover?

This Grade 6–8 mathematics worksheet builds the skill of identifying the equation represented by a line graph. Across 10 multiple-choice items, students interpret each graph and select the equation that matches its visual information, practicing the connection between graphical and symbolic representations.

How can I use this worksheet to teach students to write an equation from a graph?

First, model how to read the information shown on one line graph and compare it with the features of candidate equations. Then have students explain why their selected equation matches the graph before completing the remaining multiple-choice items independently; use their explanations to address uncertainty about how a graph corresponds to an equation.

What mistakes should I watch for when students identify an equation from a graph?

Students may choose an equation after matching only one visible feature of the graph instead of checking whether the entire line is represented. They may also misread the graph’s scale or confuse equations that produce lines with similar appearances, so ask them to justify each choice using more than one feature shown in the graph.

How do I assign and grade this line-equation worksheet?

On Wayground, assign the worksheet as a printable PDF or as a digital quiz. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also offers an option for schools working to reduce screen time while students practice matching graphs to equations.

How can I differentiate this worksheet for my students?

For the 10 graph-based multiple-choice items, use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so graph labels and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support students’ access to the graph-and-equation task.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, including downloadable PDFs and answer keys. Browse more resources at https://wayground.com/en-us/worksheets.

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