Slope worksheets help students measure how steep a line is and connect that idea to equations. These free printable slope worksheets start with finding slope from two points, move to slopes that are fractions, and continue with y = mx + b and writing equations of lines. Every PDF has an answer key, and the maker below builds fresh problems in seconds.
Quick answer: Slope is rise over run: the change in y divided by the change in x between two points, m = (y2 − y1) ÷ (x2 − x1). For (1, 2) and (3, 8), the slope is 6/2 = 3. This page has 7 free slope worksheets (PDF) with answer keys for grade 8, plus a maker. Updated October 2026.
Ready-to-print samples
A few of the ready PDFs on this page. The full list is under Ready-to-print worksheets, and the maker above makes new problems on demand.
Slope from two pointsLevel 1 with a full answer key.PDFSlope as a fractionLevel 2 with a full answer key.PDFSlope and y-interceptLevel 3 with a full answer key.PDFWrite y = mx + bLevel 4 with a full answer key.PDF
How to find slope
Pick two points (x1, y1) and (x2, y2) on the line.
Find the rise: y2 − y1.
Find the run: x2 − x1, in the same order.
Divide rise by run and simplify.
Slope from two points worksheet: worked examples
Each row shows the subtraction in the same order top and bottom, then the simplified slope:
Points
Rise ÷ run
Before simplifying
Slope
(1, 2) and (3, 8)
(8 − 2) ÷ (3 − 1)
6/2
3
(0, 5) and (4, 1)
(1 − 5) ÷ (4 − 0)
-4/4
-1
(-2, -1) and (2, 7)
(7 − (-1)) ÷ (2 − (-2))
8/4
2
(2, 3) and (6, 3)
(3 − 3) ÷ (6 − 2)
0/4
0
(-3, 4) and (5, -4)
(-4 − 4) ÷ (5 − (-3))
-8/8
-1
(1, 1) and (4, 3)
(3 − 1) ÷ (4 − 1)
2/3
2/3
Types of slope
The sign of the slope tells you which way the line leans. Students should recognize all four cases:
Type of slope
Direction of the line
Example
Sign
Positive
Rises from left to right
y = 2x + 1
m > 0
Negative
Falls from left to right
y = -3x + 4
m < 0
Zero
Horizontal line
y = 5
m = 0
Undefined
Vertical line
x = 3
no slope
Slope intercept form worksheet: reading y = mx + b
In y = mx + b, m is the slope and b is the y-intercept, where the line crosses the y-axis. Reading these two numbers is often enough to sketch the line:
Equation
Slope m
y-intercept b
Meaning
y = 3x + 2
3
2
Up 3 for every 1 across; crosses the y-axis at (0, 2)
y = -x + 5
-1
5
Down 1 for every 1 across; crosses at (0, 5)
y = (1/2)x − 4
1/2
-4
Up 1 for every 2 across; crosses at (0, -4)
y = 6
0
6
A horizontal line at height 6
y = -4x
-4
0
Passes through the origin
Writing equations of lines worksheet
To write an equation from two points, find the slope first, then substitute one point into y = mx + b to find b:
Given
Find the slope
Substitute to find b
Equation
(0, 3) and (2, 7)
(7 − 3) ÷ (2 − 0) = 2
b = 3 from the point (0, 3)
y = 2x + 3
(1, 2) and (3, 8)
(8 − 2) ÷ (3 − 1) = 3
2 = 3(1) + b, so b = -1
y = 3x − 1
(2, 5) and (4, 1)
(1 − 5) ÷ (4 − 2) = -2
5 = -2(2) + b, so b = 9
y = -2x + 9
Try ten slope problems
Use these as a warm-up. Write the subtraction in the same order on top and bottom.
#
Problem
Answer
1
(0, 0) and (2, 6)
3
2
(1, 4) and (3, 10)
3
3
(2, 7) and (6, 3)
-1
4
(-1, 2) and (3, 4)
1/2
5
(4, 5) and (4, 9)
undefined (vertical line)
6
(-2, -3) and (4, 3)
1
7
Slope and y-intercept of y = 4x − 7
m = 4, b = -7
8
Slope and y-intercept of y = -(2/3)x + 1
m = -2/3, b = 1
9
Line through (0, 2) with slope 5
y = 5x + 2
10
(5, 1) and (9, 1)
0 (horizontal line)
Slope vocabulary
Students answer questions faster when they know the words. These are the terms used on the worksheets and answer keys:
Word
Meaning
Example
Slope
A measure of how steep a line is, rise over run
3
Rise
The vertical change between two points
y2 − y1
Run
The horizontal change between two points
x2 − x1
y-intercept
The point where a line crosses the y-axis
(0, b)
Slope-intercept form
An equation written as y = mx + b
y = 2x + 3
Parallel lines
Lines with the same slope
y = 2x and y = 2x + 5
Slope practice and PDFs
This page is also searched as slope worksheet, finding slope worksheet, slope practice, y = mx + b worksheet and slope intercept form worksheet. All of them are the free PDFs above, with an answer key, for US Letter or A4, with no sign-up. The coordinate plane is a good place to plot the points.
How to use these slope worksheets
Use the slope worksheets in order. The first slope worksheets use whole-number slopes so students can focus on the rise over run idea. The later slope worksheets bring in fractions and negative slopes, and then connect slope to y = mx + b.
Sketch each pair of points on the coordinate plane when you first use the slope worksheets, so the rise and run can be seen. Print a slope worksheet for homework and use the answer key to check it. Students who need more slope worksheets can generate a new set in the maker, and slope worksheets with fresh numbers make a good retest.
Graph proportional relationships and interpret the unit rate as the slope
Grade 8
8.EE.B.6
Derive y = mx and y = mx + b using similar triangles
Grade 8
8.F.B.4
Construct a function to model a linear relationship from two points
Common mistakes with slope
Mistake
Example
Fix
Subtracting in a different order
(y2 − y1) ÷ (x1 − x2)
Use the same order on top and bottom
Run over rise
Slope of (1, 2) and (3, 8) = 2/6
Rise over run: 6/2 = 3
Losing a negative sign
(4, -1) and (2, 3): slope = 2
It is (3 − (-1)) ÷ (2 − 4) = 4/(-2) = -2
Mixing up slope and y-intercept
y = 2x + 5: slope is 5
The slope is the coefficient of x: 2
Calling a vertical line zero slope
Slope of x = 3 is 0
A vertical line has undefined slope; a horizontal line has zero slope
Real-life uses of slope
Slope is a rate of change, so it appears wherever one quantity changes with another:
Situation
Slope
Meaning
A road rises 12 ft over a 100 ft run
12/100 = 0.12
A 12 percent grade
A plumber needs 1/4 inch of drop per foot of pipe
-1/4 per foot
A downward slope
A phone plan costs $20 plus $5 per gigabyte
5
$5 for each gigabyte
A candle burns 2 cm every hour
-2
The height falls 2 cm per hour
A taxi charges $3 plus $2 per mile
2
$2 for every mile
Which slope worksheet should you start with?
Start with slope from two points, then fractions, then equations. Set B gives a retest for the first two levels.
Level
Skill
Best for
Level 1
Slope from two points, whole numbers
Grade 8, first lesson
Level 2
Slope as a fraction
Grade 8
Level 3
Slope and y-intercept from y = mx + b
Grade 8
Level 4
Write y = mx + b
Grade 8
Level 5
Equation of a line through two points
Grade 8, extension
A weekly plan for slope
Day
Focus
Suggested block
Monday
Slope from two points
15 min
Tuesday
Positive, negative, zero and undefined slope
15 min
Wednesday
Reading y = mx + b
15 min
Thursday
Writing an equation of a line
15 min
Weekly total
Four short sessions
60 min
Frequently asked questions
5 quick answers
Where can I download free slope worksheets?
Open any worksheet in the Ready-to-print list on this page, choose US Letter or A4, then print or save the PDF. They are free, with answer keys, and no account is needed.
How do you find the slope of a line?
Divide the change in y by the change in x between two points: m = (y2 − y1) ÷ (x2 − x1).
What is slope-intercept form?
It is y = mx + b, where m is the slope and b is the y-intercept.
What is the slope of a horizontal line?
Zero. A vertical line has undefined slope, because the run is zero.
What grade learns slope?
Slope is taught in grade 8, in 8.EE.B.5, 8.EE.B.6 and 8.F.B.4.
