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Writing Equations of a Line - Printable Mathematics Worksheets - Wayground

Writing Equations of a Line

15 questions

9th - 11th Grade

Mathematics

This Grade 9–11 mathematics worksheet gives students focused practice writing and interpreting linear equations. Across 15 multiple-choice questions, students identify slope and y-intercepts, calculate slope from two points, recognize horizontal, vertical, positive, negative, zero, and undefined slopes, and read equations from graphs. Students also select slope-intercept equations from given slope and intercept values, convert equations between standard and slope-intercept forms, interpret point-slope form, and determine a point or slope from a point-slope equation. The worksheet is useful for guided practice, independent review, or a quick formative check of students’ fluency with line equations. It is a free printable worksheet with a complete answer key.

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Worksheets

Writing Equations of a Line

Total questions: 15

Name
Class
Date
1.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
2.
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
3.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
4.
What direction is an undefined slope?
a)
horizontal
b)
vertical
5.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
6.
Write the equation for the line in slope-intercept form.
a)
y=-1x+3
b)
y=4x+3
c)
y=¼x+3
d)
y=-4x+3
7.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
8.
What is the equation of the line graphed?
a)
x = -1
b)
y = -1
c)
y = -1x
d)
y = x - 1
9.

Write the slope-intercept form of the equation that has a slope of 4 and a y-intercept of −3.

a)

y = 4x − 3

b)

y = −3x + 4

c)

y = −4x + 3

d)

y = 3x − 4

10.
Which is the equation of the line with slope 3 and y-intercept 5.
a)
y = 3x + 5
b)
y = 5x + 3
c)
y = 3/5x
d)
y = 5/3x
11.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

12.

Write the slope intercept form of the equation x - 3y = 6

a)

y = -x - 2

b)

y = x + 2

c)

y = 1/3x - 2

d)

y = -1/3x + 2

13.
Write in standard form.
4y - 3 = 6x + 6
a)
6x - 4y = -9
b)
6x - 4y = 3
c)
4y - 6x = -9
d)
4x + 4y = 3
14.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
15.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
Answer Key

Writing Equations of a Line

Total questions: 15

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

y = 4x − 3

10.
a) y = 3x + 5
11.
c)

y = −2x + 13

12.
c)

y = 1/3x - 2

13.
a) 6x - 4y = -9
14.
a) (-4, 3)
15.
c) -3

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FAQs

What does this worksheet cover, and how does it help students learn to write equations of a line?

This worksheet uses 15 multiple-choice questions to build fluency with slope, y-intercepts, and equations of lines. Students identify slope from points, graphs, and equations; choose slope-intercept equations from given values; and convert or interpret standard and point-slope forms, strengthening their ability to connect different representations of a line.

How can I use this worksheet to teach writing equations of a line?

Introduce the worksheet by reviewing y = mx + b and having students label the slope and y-intercept in sample equations. Then use the questions in stages: discuss slope from two points and graphs, model converting equations such as x − 3y = 6, and finish with point-slope items that require students to identify a point or slope. Ask students to explain why an equation represents a vertical or horizontal line when those graph-based items arise.

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

Watch for students confusing the coefficient of x with the y-intercept, reversing the rise-over-run subtraction when finding slope from two points, or choosing the wrong sign. Students may also mistake vertical lines for horizontal lines, confuse x = a with y = a, or read the coordinates in point-slope form incorrectly. When converting forms, check that they isolate y correctly and preserve the signs and fractions.

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

On Wayground, you can assign this worksheet as a printable PDF or as a digital quiz containing the 15 multiple-choice questions about slope and linear equations. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The PDF option also supports classrooms that are reducing screen time.

How can I differentiate this worksheet for students who need support with linear equations?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the equation choices and graph-based items are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language, helping students access the slope, intercept, and equation-conversion questions without changing the mathematical practice.

Where can I find more free worksheets like this on Wayground?

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

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