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Writing the equation of a line from a graph - Printable Mathematics Worksheets - Wayground

Writing the equation of a line from a graph

10 questions

8th - 8th Grade

Mathematics

This Grade 8 mathematics worksheet develops skill with writing the equation of a line from a graph in slope-intercept form. Across 10 items—one multiple-select question and nine multiple-choice questions—students identify graphs with positive slope, find the y-intercept in a given equation, and use a graph’s slope and y-intercept to choose the matching equation. The answer choices require students to distinguish between positive and negative slopes, whole-number and fractional slopes, and the correct placement of the y-intercept. Use this free printable worksheet for guided practice, independent work, homework, or a quick check of understanding after teaching slope-intercept form. It is designed for Grade 8 math students who are learning to connect visual representations of lines with equations such as y = mx + b. A complete answer key is included, making it convenient to review how graph features correspond to the equation.

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Worksheets

Writing the equation of a line from a graph

Total questions: 10

Name
Class
Date
1.

Check ALL of the boxes below showing the graph of a line with a positive slope:

a)
b)
c)
d)
e)
2.

In this equation, what is the y-intercept?


y = 3x - 4

a)

3

b)

-4

c)

4

d)

3x

3.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
4
c)
5
d)
-5
4.

What is the correct equation for the graph?

a)

y = x + 5

b)

x = y

c)

y = 5x

d)

x = 5y

5.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
6.
Which equation best represents the line on the graph?
a)
y= 1/2x
b)
y= -1/2x
c)
y = 2x
d)
y = -2x
7.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
8.
 Identify the slope and y intercept to write an equation of the line.
a)
y = -1/4x + 2
b)
y = 1/4x + 2
c)
y = -4x + 2
d)
y = 4x - 2
9.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
10.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
Answer Key

Writing the equation of a line from a graph

Total questions: 10

1.
a) , c)
2.
b)

-4

3.
d) -5
4.
c)

y = 5x

5.
d) y = -3/2x + 4
6.
a) y= 1/2x
7.
c) y = -4/5x + 3
8.
c) y = -4x + 2
9.
b) y = 1/3x - 2
10.
d) y = -3/2x + 4

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FAQs

What does this worksheet cover?

This Grade 8 worksheet focuses on writing the equation of a line from a graph in slope-intercept form, y = mx + b. Its 10 questions ask students to identify positive slope, recognize y-intercepts in equations, and use slope and y-intercept information to select the equation that matches a graph.

How can I use this worksheet to teach writing equations from graphs?

First model how to locate a line’s y-intercept and determine its slope from the graph, then connect those values to y = mx + b. As students complete the multiple-choice items, ask them to explain how the sign and size of the slope and the y-intercept eliminate incorrect equations; use the opening positive-slope item to reinforce how a line’s direction appears visually.

What mistakes should I watch for when students complete this worksheet?

Watch for students choosing the slope coefficient as the y-intercept, such as selecting 3 instead of -4 in y = 3x - 4. Students may also reverse fractional slopes, confuse the sign of the slope, or overlook the y-intercept when comparing equations such as y = -3/2x + 4 and y = 2/3x + 4.

How do I assign and grade this worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 10 items. For printable submissions, you can scan student work with the Wayground for Teachers app to help grade responses efficiently.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the graph-and-equation choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while students work with the slope and y-intercept items.

Where can I find more worksheets like this on Wayground?

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

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