Slope Worksheets - Free Printable

To find the slope of a line from a graph, we use the formula:

Slope = rise / run

- Rise is how much the line goes up (or down) vertically.
- Run is how much the line goes right (or left) horizontally.

We pick two points on the line that are easy to read — usually where the line crosses grid intersections.

Let’s go through each problem one by one.

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Problem 1:

Pick two points: Let’s use (0, -2) and (3, 4).

Rise = 4 - (-2) = 6
Run = 3 - 0 = 3
Slope = 6/3 = 2

✔ Check: From (0,-2), go up 6, right 3 → lands at (3,4). Correct.

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Problem 2:

Points: (0, 3) and (3, -3)

Rise = -3 - 3 = -6
Run = 3 - 0 = 3
Slope = -6/3 = -2

✔ Check: Down 6, right 3 → yes, matches graph.

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Problem 3:

Points: (-2, -2) and (2, 2)

Rise = 2 - (-2) = 4
Run = 2 - (-2) = 4
Slope = 4/4 = 1

✔ Check: Up 4, right 4 → diagonal line with slope 1. Correct.

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Problem 4:

Points: (0, 2) and (2, -2)

Rise = -2 - 2 = -4
Run = 2 - 0 = 2
Slope = -4/2 = -2

✔ Check: Down 4, right 2 → steep negative slope. Matches.

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Problem 5:

Points: (-2, -1) and (2, 2)

Rise = 2 - (-1) = 3
Run = 2 - (-2) = 4
Slope = 3/4

✔ Check: Up 3, right 4 → gentle positive slope. Looks correct.

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Problem 6:

This line is horizontal! It never goes up or down.

Any two points: say (0, 1) and (4, 1)

Rise = 1 - 1 = 0
Run = 4 - 0 = 4
Slope = 0/4 = 0

✔ Horizontal lines always have slope 0.

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Problem 7:

Points: (-2, -4) and (2, 4)

Rise = 4 - (-4) = 8
Run = 2 - (-2) = 4
Slope = 8/4 = 2

✔ Same as Problem 1 — steep positive slope.

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Problem 8:

Points: (0, 0) and (4, -2)

Rise = -2 - 0 = -2
Run = 4 - 0 = 4
Slope = -2/4 = -1/2

✔ Simplify fraction: -2/4 = -1/2. Gentle downward slope.

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Problem 9:

This line is vertical! It goes straight up and down.

Points: (1, -2) and (1, 2)

Rise = 2 - (-2) = 4
Run = 1 - 1 = 0
Slope = 4/0 → undefined

✔ Vertical lines have undefined slope because you can’t divide by zero.

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Final Answer:

1) 2
2) -2
3) 1
4) -2
5) 3/4
6) 0
7) 2
8) -1/2
9) undefined