Let’s solve each graph one by one to find the slope.
Remember: Slope = rise over run → how much you go up (or down) divided by how much you go right.
We’ll pick two points on each line, count the vertical change (rise) and horizontal change (run), then write the fraction and simplify if needed.
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Graph 1 (top left):
Points: Let’s use (-4, -2) and (4, -4)
Rise: from y=-2 to y=-4 → that’s -2 (down 2)
Run: from x=-4 to x=4 → that’s +8 (right 8)
Slope = -2/8 =
-1/4
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Graph 2 (top middle):
Points: (0, -3) and (2, 1)
Rise: from -3 to 1 → +4
Run: from 0 to 2 → +2
Slope = 4/2 =
2
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Graph 3 (top right):
Points: (-4, -2) and (0, 2)
Rise: from -2 to 2 → +4
Run: from -4 to 0 → +4
Slope = 4/4 =
1
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Graph 4 (middle left):
Points: (1, 3) and (3, -1)
Rise: from 3 to -1 → -4
Run: from 1 to 3 → +2
Slope = -4/2 =
-2
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Graph 5 (middle middle):
Points: (-4, -3) and (4, -2)
Rise: from -3 to -2 → +1
Run: from -4 to 4 → +8
Slope = 1/8 →
1/8
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Graph 6 (middle right):
This is a horizontal line!
No matter which points you pick, rise = 0.
Example: (-3, 1) and (3, 1) → rise = 0, run = 6
Slope = 0/6 =
0
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Graph 7 (bottom left):
Points: (-3, 1) and (1, -3)
Rise: from 1 to -3 → -4
Run: from -3 to 1 → +4
Slope = -4/4 =
-1
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Graph 8 (bottom middle):
Points: (-3, 3) and (-2, -1)
Rise: from 3 to -1 → -4
Run: from -3 to -2 → +1
Slope = -4/1 =
-4
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Graph 9 (bottom right):
Points: (-2, -3) and (0, 1)
Rise: from -3 to 1 → +4
Run: from -2 to 0 → +2
Slope = 4/2 =
2
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Final Answer:
Top row: m = -1/4, m = 2, m = 1
Middle row: m = -2, m = 1/8, m = 0
Bottom row: m = -1, m = -4, m = 2
Parent Tip: Review the logic above to help your child master the concept of calculating slope worksheet.
