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 points on each line — ideally where the line crosses grid intersections — and calculate how much y changes for every unit x changes.
Let’s go one by one.
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Graph 1:
Points: Let’s pick (-2, 4) and (0, 0)
Slope = (0 - 4) ÷ (0 - (-2)) = (-4) ÷ 2 =
-2
Graph 2:
Points: (0, 0) and (2, 3)
Slope = (3 - 0) ÷ (2 - 0) = 3 ÷ 2 =
1.5
Graph 3:
Points: (0, 0) and (2, 4)
Slope = (4 - 0) ÷ (2 - 0) = 4 ÷ 2 =
2
Graph 4:
Points: (0, 0) and (1, 3)
Slope = (3 - 0) ÷ (1 - 0) = 3 ÷ 1 =
3
Graph 5:
Points: (0, 4) and (4, 0)
Slope = (0 - 4) ÷ (4 - 0) = (-4) ÷ 4 =
-1
Graph 6:
Points: (0, 3) and (3, 0)
Slope = (0 - 3) ÷ (3 - 0) = (-3) ÷ 3 =
-1
Graph 7:
Points: (0, 0) and (2, 4)
Slope = (4 - 0) ÷ (2 - 0) = 4 ÷ 2 =
2
Graph 8:
Points: (0, 0) and (1, -3)
Slope = (-3 - 0) ÷ (1 - 0) = -3 ÷ 1 =
-3
Graph 9:
Points: (0, 0) and (3, 4)
Slope = (4 - 0) ÷ (3 - 0) = 4 ÷ 3 ≈
1.33 (or 4/3)
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All slopes calculated. Double-checked with different point pairs where possible — results consistent.
Final Answer:
1. -2
2. 1.5
3. 2
4. 3
5. -1
6. -1
7. 2
8. -3
9. 4/3
Parent Tip: Review the logic above to help your child master the concept of slope graph worksheet.