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Write an Equation of a Line given "m" and "b" - Printable Mathematics Worksheets - Wayground

Write an Equation of a Line given "m" and "b"

8 questions

8th - 8th Grade

Mathematics

This Grade 8 mathematics worksheet helps students write linear equations in slope-intercept form, y = mx + b, when the slope (m) and y-intercept (b) are given. Across 8 multiple-choice questions, students identify where each value belongs, preserve positive or negative signs, and select the equation that matches the stated slope and y-intercept. Examples include equations with zero, positive, and negative intercepts and slopes, as well as a slope of 1. Use this free printable worksheet for guided practice, independent work, homework, or a quick check of students’ ability to connect slope-intercept vocabulary to an equation. The answer choices make common errors visible, such as switching m and b or changing the sign of the intercept. It includes a complete answer key for efficient checking and feedback, and the worksheet is also available digitally through Wayground.

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Worksheets

Write an Equation of a Line given "m" and "b"

Total questions: 8

Name
Class
Date
1.

Find the equation of a line with a y-intercept of 3 and a slope of 2.

a)

y = 2x + 3

b)

y = 3x + 2

c)

y = 2x - 3

d)

y = -2x + 3

2.

Find the equation of a line given a y-intercept of 0 and a slope of -3.

a)

y = 3x

b)

y = -x

c)

y = -3x

d)

y = 0

3.

Write the equation of a line with a slope of -2 and a y-intercept of 4.

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = -2x - 4

d)

y = 2x + 4

4.

Find the equation of a line with a y-intercept of -1 and a slope of 4.

a)

y = 4x - 1

b)

y = -4x + 1

c)

y = 4x + 1

d)

y = -1x + 4

5.

What is the equation of a line with a slope of 3 and a y-intercept of -5?

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = 3x + 5

d)

y = -3x - 5

6.

Write the equation of a line with a slope of 1 and a y-intercept of 2.

a)

y = x + 2

b)

y = -x + 2

c)

y = x - 2

d)

y = -x - 2

7.

Find the equation of a line given a y-intercept of 2 and a slope of 5.

a)

y = 5x + 2

b)

y = 2x + 5

c)

y = 5x - 2

d)

y = 2x - 5

8.

Find the equation of a line given a y-intercept of -1 and a slope of 4.

a)

y = 4x - 1

b)

y = -x + 4

c)

y = 4x + 1

d)

y = -x - 4

Answer Key

Write an Equation of a Line given "m" and "b"

Total questions: 8

1.
a)

y = 2x + 3

2.
c)

y = -3x

3.
b)

y = -2x + 4

4.
a)

y = 4x - 1

5.
a)

y = 3x - 5

6.
a)

y = x + 2

7.
a)

y = 5x + 2

8.
a)

y = 4x - 1

FAQs

What does this worksheet cover, and how does it help students write equations from slope and y-intercept?

This Grade 8 worksheet focuses on writing equations in slope-intercept form, y = mx + b, when m and b are provided. Its 8 multiple-choice items require students to place the given slope as the coefficient of x and the y-intercept as the constant, including cases with zero and negative values. Comparing the options helps students recognize sign and placement errors.

How can I use this worksheet to teach writing a linear equation from m and b?

Begin by reviewing y = mx + b and have students label m as the slope and b as the y-intercept. Model one item by substituting the given values, then ask students to explain why distractors such as y = 3x + 2 reverse the roles of slope and intercept. Use the remaining multiple-choice questions for guided practice, asking students to justify the sign of each term before selecting an answer.

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

Watch for students switching the slope and y-intercept, as in choosing 3x + 2 when the slope is 2 and the intercept is 3. Students may also reverse a negative sign, write a positive constant for a negative intercept, or choose the wrong sign for a negative slope. The items with a zero intercept and a slope of 1 are useful checks that students understand y = -3x and y = x rather than treating omitted or simple values incorrectly.

How do I assign and grade this worksheet?

You can assign this worksheet as a printable PDF or use it as a digital quiz on Wayground; it includes a complete answer key for all 8 multiple-choice questions. For printable submissions, scan student work with the Wayground for Teachers app to support faster grading and review of errors in placing m and b.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the equation choices are easier to read and compare. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support students working through the slope-intercept questions.

Where can I find more worksheets like this on Wayground?

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