To find the slope of each line, we use the formula:
>
Slope = (change in y) / (change in x)
> or
>
Slope = (y₂ - y₁) / (x₂ - x₁)
We pick two clear points on each line from the grid and calculate.
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Problem 1:
Look at the red line. It goes through:
- Point A: (-4, 1)
- Point B: (4, 3)
Change in y = 3 - 1 = 2
Change in x = 4 - (-4) = 8
Slope = 2 / 8 =
1/4
✔ Check: From left to right, it rises slowly — positive small slope makes sense.
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Problem 2:
Red line passes through:
- Point A: (-4, -1)
- Point B: (4, 0)
Change in y = 0 - (-1) = 1
Change in x = 4 - (-4) = 8
Slope = 1 / 8
✔ Check: Very flat, slightly rising — matches 1/8.
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Problem 3:
Line goes through:
- Point A: (1, 5)
- Point B: (3, -3)
Change in y = -3 - 5 = -8
Change in x = 3 - 1 = 2
Slope = -8 / 2 =
-4
✔ Check: Steeply going down — negative large slope fits.
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Problem 4:
Line passes through:
- Point A: (4, 5)
- Point B: (5, -5)
Change in y = -5 - 5 = -10
Change in x = 5 - 4 = 1
Slope = -10 / 1 =
-10
✔ Check: Almost vertical, falling fast — very steep negative slope makes sense.
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Final Answer:
1) 1/4
2) 1/8
3) -4
4) -10
Parent Tip: Review the logic above to help your child master the concept of find the slope of each line worksheet answers.