Slope and y-interceptSlope and intercept
Name: Date:
Answer what each question asks — the slope, or the y-intercept.
1y = 5x − 4m =
2y = 11x + 32b =
3y = −9x + 5m =
4y = 8xm =
5(2, 0) and (5, 0)m =
6y = −5xb =
- Free
- Grade 8
- Whole-number slopes
Slope and y-intercept worksheets
A line carries two numbers and they mean different things: one says how fast it climbs, the other says where it starts. These free printable worksheets ask for one at a time.
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- Answer key included
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Ready to printSlope and y-intercept
The answer key prints on a separate page.
What's on this sheet
Asked for the slope of y = 3x + 5, a child has a one-in-two chance of guessing right, which is why these sheets are built around what each number MEANS rather than where it sits. The number attached to x says how much y moves for every step of x; the number on its own is where the line already is before x has moved at all.
Why this sheet works
Three questions turn up on every sheet because they are the three readings that go wrong. y = x + 4 has an invisible 1 in front of the x, and a child who answers 4 has made exactly the mistake it produces. y = 3 has no x at all, which is a flat line and a slope of 0, not "no line". y = 3x has no constant, which is an intercept of 0, not "no intercept".
How this one works
One question from this sheet, worked through a step at a time.
y = 5x − 4
y = 5x − 4
y = 5x − 4
m=5
y = 5x − 4
m=5
- A line written this way carries two facts: how much y moves for each step of x, and where it already is when x is 0. The slope is the first.
- The number multiplying x is 5, so each step of x moves y by 5.
- So m = 5, and the −4 is where it starts rather than how it climbs.