Practice worksheet for calculating slope from two given points using the slope formula.

Let’s solve each of the four slope problems step by step.

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Problem 1: Points (18,3) and (2,19)

Step 1: Assign coordinates
Let’s say:
x₁ = 18, y₁ = 3
x₂ = 2, y₂ = 19

Step 2: Use slope formula
m = (y₂ - y₁) / (x₂ - x₁)
= (19 - 3) / (2 - 18)
= 16 / (-16)
= -1

✔ Final answer for Problem 1: m = -1

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Problem 2: Points (0, -19) and (3, -4)

Step 1: Assign coordinates
x₁ = 0, y₁ = -19
x₂ = 3, y₂ = -4

Step 2: Use slope formula
m = (y₂ - y₁) / (x₂ - x₁)
= (-4 - (-19)) / (3 - 0)
= (-4 + 19) / 3
= 15 / 3
= 5

✔ Final answer for Problem 2: m = 5

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Problem 3: Points (12,9) and (17,5)

Step 1: Assign coordinates
x₁ = 12, y₁ = 9
x₂ = 17, y₂ = 5

Step 2: Use slope formula
m = (y₂ - y₁) / (x₂ - x₁)
= (5 - 9) / (17 - 12)
= (-4) / 5
= -4/5

✔ Final answer for Problem 3: m = -4/5

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Problem 4: Points (-2,20) and (2,11)

Step 1: Assign coordinates
x₁ = -2, y₁ = 20
x₂ = 2, y₂ = 11

Step 2: Use slope formula
m = (y₂ - y₁) / (x₂ - x₁)
= (11 - 20) / (2 - (-2))
= (-9) / (2 + 2)
= -9 / 4

✔ Final answer for Problem 4: m = -9/4

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Final Answer:
Problem 1: m = -1
Problem 2: m = 5
Problem 3: m = -4/5
Problem 4: m = -9/4