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Grade 8 · Math

Find slope from two points

Divide vertical change by horizontal change using consistent point order.

8 generated examples + worked example

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Worked example

Find the slope through (1, 2) and (4, 8).

Answer & why

Answer: 2

(8 − 2) ÷ (4 − 1) = 6 ÷ 3 = 2.

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8 reproducible examples from this math generator. Choose New examples for another set.

Question 1

What is the slope of a line through (1, 5) and (3, -7)?

  1. -7
  2. -8
  3. -3
  4. -6
A hint

Use the same point order in both differences.

Answer & why

Answer: -6

Slope = change in y ÷ change in x = -12 ÷ 2 = -6.

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Question 2

What is the slope of a line through (2, 2) and (3, 8)?

  1. 6
  2. 5
  3. 8
  4. 10
A hint

Use the same point order in both differences.

Answer & why

Answer: 6

Slope = change in y ÷ change in x = 6 ÷ 1 = 6.

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Question 3

What is the slope of a line through (5, 4) and (6, -1)?

  1. -5
  2. -1
  3. -2
  4. -6
A hint

Use the same point order in both differences.

Answer & why

Answer: -5

Slope = change in y ÷ change in x = -5 ÷ 1 = -5.

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Question 4

What is the slope of a line through (2, 3) and (3, -3)?

  1. -8
  2. -7
  3. -5
  4. -6
A hint

Use the same point order in both differences.

Answer & why

Answer: -6

Slope = change in y ÷ change in x = -6 ÷ 1 = -6.

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Question 5

What is the slope of a line through (2, 2) and (5, -4)?

  1. 1
  2. 0
  3. -2
  4. -1
A hint

Use the same point order in both differences.

Answer & why

Answer: -2

Slope = change in y ÷ change in x = -6 ÷ 3 = -2.

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Question 6

What is the slope of a line through (1, -6) and (5, 2)?

  1. 3
  2. 1
  3. 2
  4. 4
A hint

Use the same point order in both differences.

Answer & why

Answer: 2

Slope = change in y ÷ change in x = 8 ÷ 4 = 2.

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Question 7

What is the slope of a line through (2, 0) and (4, -10)?

  1. -5
  2. -4
  3. -3
  4. -6
A hint

Use the same point order in both differences.

Answer & why

Answer: -5

Slope = change in y ÷ change in x = -10 ÷ 2 = -5.

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Question 8

What is the slope of a line through (4, -2) and (8, -2)?

  1. 2
  2. 1
  3. 0
  4. 3
A hint

Use the same point order in both differences.

Answer & why

Answer: 0

Slope = change in y ÷ change in x = 0 ÷ 4 = 0.

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