Find the slope of each graph on the coordinate plane worksheet.

To find the slope of each line, we use the formula:

> Slope = rise / run
> or
> Slope = (change in y) / (change in x)

We pick two clear points on each line and count how much we go up/down (rise) and left/right (run) from one point to the other. Then divide rise by run.

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Graph 1:

Pick two points: (-3, 0) and (0, 2)

From (-3, 0) to (0, 2):
→ Rise = +2 (up 2)
→ Run = +3 (right 3)
Slope = 2/3

Check with another pair: (0, 2) to (3, 4) → rise=2, run=3 → same result.

✔ Slope = 2/3

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Graph 2:

Pick two points: (-5, 1) and (5, 4)

From (-5, 1) to (5, 4):
→ Rise = +3 (up 3)
→ Run = +10 (right 10)
Slope = 3/10

Check: From (0, 2.5) to (5, 4) → rise=1.5, run=5 → 1.5/5 = 3/10 ✔

✔ Slope = 3/10

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Graph 3:

Pick two points: (-3, 3) and (3, -3)

From (-3, 3) to (3, -3):
→ Rise = -6 (down 6)
→ Run = +6 (right 6)
Slope = -6/6 = -1

Check: From (0,0) to (2,-2) → rise=-2, run=2 → -2/2 = -1 ✔

✔ Slope = -1

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Graph 4:

Pick two points: (0, 5) and (3, -1)

From (0, 5) to (3, -1):
→ Rise = -6 (down 6)
→ Run = +3 (right 3)
Slope = -6/3 = -2

Check: From (1, 3) to (2, 1) → rise=-2, run=1 → -2/1 = -2 ✔

✔ Slope = -2

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Graph 5:

Pick two points: (-2, -1) and (0, 3)

From (-2, -1) to (0, 3):
→ Rise = +4 (up 4)
→ Run = +2 (right 2)
Slope = 4/2 = 2

Check: From (0,3) to (1,5) → rise=2, run=1 → 2/1 = 2 ✔

✔ Slope = 2

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Graph 6:

Pick two points: (-4, 1) and (4, -1)

From (-4, 1) to (4, -1):
→ Rise = -2 (down 2)
→ Run = +8 (right 8)
Slope = -2/8 = -1/4

Check: From (0,0) to (4,-1) → rise=-1, run=4 → -1/4 ✔

✔ Slope = -1/4

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Final Answer:
1. 2/3
2. 3/10
3. -1
4. -2
5. 2
6. -1/4