To find the slope from a pair of points, we use the formula:
Slope = (y₂ - y₁) / (x₂ - x₁)
This means:
→ Subtract the y-values (top minus bottom or second minus first — just be consistent!)
→ Subtract the x-values the same way
→ Divide the y-difference by the x-difference
Let’s solve each problem one by one.
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1) (-5,3) and (5,-1)
y₂ - y₁ = -1 - 3 = -4
x₂ - x₁ = 5 - (-5) = 5 + 5 = 10
Slope = -4 / 10 =
-2/5
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2) (5,0) and (2,4)
y₂ - y₁ = 4 - 0 = 4
x₂ - x₁ = 2 - 5 = -3
Slope = 4 / -3 =
-4/3
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3) (1,-5) and (5,5)
y₂ - y₁ = 5 - (-5) = 5 + 5 = 10
x₂ - x₁ = 5 - 1 = 4
Slope = 10 / 4 =
5/2
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4) (-3,-1) and (-4,2)
y₂ - y₁ = 2 - (-1) = 2 + 1 = 3
x₂ - x₁ = -4 - (-3) = -4 + 3 = -1
Slope = 3 / -1 =
-3
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5) (2,-4) and (4,-3)
y₂ - y₁ = -3 - (-4) = -3 + 4 = 1
x₂ - x₁ = 4 - 2 = 2
Slope = 1 / 2 =
1/2
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6) (-5,5) and (5,3)
y₂ - y₁ = 3 - 5 = -2
x₂ - x₁ = 5 - (-5) = 5 + 5 = 10
Slope = -2 / 10 =
-1/5
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7) (-5,3) and (5,-3)
y₂ - y₁ = -3 - 3 = -6
x₂ - x₁ = 5 - (-5) = 5 + 5 = 10
Slope = -6 / 10 =
-3/5
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8) (3,-5) and (-3,5)
y₂ - y₁ = 5 - (-5) = 5 + 5 = 10
x₂ - x₁ = -3 - 3 = -6
Slope = 10 / -6 =
-5/3
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9) (-1,2) and (5,-3)
y₂ - y₁ = -3 - 2 = -5
x₂ - x₁ = 5 - (-1) = 5 + 1 = 6
Slope = -5 / 6 =
-5/6
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10) (-1,-5) and (-2,5)
y₂ - y₁ = 5 - (-5) = 5 + 5 = 10
x₂ - x₁ = -2 - (-1) = -2 + 1 = -1
Slope = 10 / -1 =
-10
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Final Answer:
1) -2/5
2) -4/3
3) 5/2
4) -3
5) 1/2
6) -1/5
7) -3/5
8) -5/3
9) -5/6
10) -10
Parent Tip: Review the logic above to help your child master the concept of slope equation worksheet.
