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Equation of a line - Printable Mathematics Worksheets class 8 - Wayground

Equation of a line

12 questions

8th - 8th Grade

Mathematics

Equation of a Line is a Grade 8 mathematics worksheet that helps students connect slope-intercept form, y = mx + b, to graphs and algebraic equations. Across 12 multiple-choice items, students identify slope and y-intercept, read values such as fractional slopes from equations, write equations when given m and b, and determine equations represented by lines or described in slope-intercept form. This free printable worksheet gives students focused practice recognizing the roles of m and b and using them correctly to construct or interpret a linear equation. It is useful for introducing the form, reinforcing work after direct instruction, or checking whether students can distinguish slope from the y-intercept in both graphical and symbolic representations. An answer key is included for efficient review and grading.

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Worksheets

Equation of a line

Total questions: 12

Name
Class
Date
1.
Write the an equation for the graph shown.
a)
y = -2x + 2
b)
y = 2x + 2
c)
y = 1/2x- 2
d)
y = -1/2x + 2
2.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
3.
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
4.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
5.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
6.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
7.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
8.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
9.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
10.

Write an equation of a line with slope  −4-4   and y-intercept 00 .

a)

y=−4y=-4

b)

x=−4x=-4

c)

y=−4xy=-4x

d)

x=0x=0

11.

Write an equation of a line with slope  00   and y-intercept −2-2 .

a)

y=−2y=-2

b)

x=−2x=-2

c)

y=−2xy=-2x

d)

x=−2x+0x=-2x+0

12.

Write an equation of the line in slope-intercept form.

a)

y=12x−2y=\frac{1}{2}x-2

b)


y=2x−2y=2x-2

c)

y=−2x+12y=-2x+\frac{1}{2}

d)

y=−12x+2y=-\frac{1}{2}x+2

Answer Key

Equation of a line

Total questions: 12

1.
d) y = -1/2x + 2
2.
b) y = 1/3x - 2
3.
c) y = -4/5x + 3
4.
a) 2
5.
c) 5
6.
a) 2
7.
c) y=3x+6
8.
b) slope: 3/2   y-intercept:  (0,3) 
9.
c) y=2/3x-3
10.
c)

y=−4xy=-4x

11.
a)

y=−2y=-2

12.
b)


y=2x−2y=2x-2

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FAQs

What does this equation of a line worksheet cover?

This Grade 8 worksheet uses 12 multiple-choice questions to practice interpreting and writing linear equations in slope-intercept form, y = mx + b. Students read equations from graphs, identify the slope and y-intercept, match m and b to an equation, and construct an equation from given values such as m = 3 and b = 6.

How can I use this worksheet to teach slope-intercept form?

Introduce y = mx + b by having students identify m as the coefficient of x and b as the constant y-intercept, then model how those values appear on a graph. Use the worksheet’s graph-to-equation items first, discuss how the sign and size of a fractional slope affect the line, and then move to items that ask students to construct an equation from a slope and y-intercept.

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

Watch for students reversing the slope and y-intercept, such as choosing 3 instead of 2 as the slope in y = 2x + 3. Students may also drop the x, change the sign of a negative slope or intercept, or misread fractional slopes such as 3/2 and 2/3; the multiple-choice distractors are useful for identifying these errors.

How do I assign and grade this equation of a line worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. For printable submissions, scan student work with the Wayground for Teachers app to support efficient grading and review.

How can I differentiate this slope-intercept form worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the equations, graph-based prompts, and multiple-choice options easier to read. You can also enable a dyslexia-friendly font or translate the worksheet’s directions into another language while keeping the slope-intercept notation available for students to interpret.

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.

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