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Slope and graphing · Grades 8 to 9

Finding slope from two points worksheet generator

This generator makes finding slope from two points worksheets: each problem gives two coordinate pairs and asks for the slope. Answers on the key are simplified fractions or whole numbers.

Finding slope from two pointsLetter 8.5 × 11 in · answer key on the last page
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Finding slope from two points
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Find the slope of the line through each pair of points. Use rise over run: (y₂ − y₁) ÷ (x₂ − x₁).

  1. 1.(−3, −8) and (−2, 7)
  2. 2.(−1, −6) and (0, 9)
  3. 3.(−3, 3) and (−1, 1)
  4. 4.(9, −7) and (7, −4)
  5. 5.(−5, 2) and (5, −3)
  6. 6.(6, −8) and (9, 3)
  7. 7.(2, 7) and (−4, 6)
  8. 8.(−9, 3) and (−3, −1)
  9. 9.(−1, 8) and (−5, 6)
  10. 10.(−1, 5) and (−3, 4)
  11. 11.(9, 9) and (−4, 7)
  12. 12.(4, 1) and (−8, 5)
  13. 13.(−6, 3) and (−1, −8)
  14. 14.(6, 6) and (2, 3)
  15. 15.(0, −6) and (−1, −8)
  16. 16.(−6, 3) and (2, 9)
nation1.netSheet 20577566
Finding slope from two points
Answer key
  1. 1.(−3, −8) and (−2, 7)m = 15
  2. 2.(−1, −6) and (0, 9)m = 15
  3. 3.(−3, 3) and (−1, 1)m = −1
  4. 4.(9, −7) and (7, −4)m = −32
  5. 5.(−5, 2) and (5, −3)m = −12
  6. 6.(6, −8) and (9, 3)m = 113
  7. 7.(2, 7) and (−4, 6)m = 16
  8. 8.(−9, 3) and (−3, −1)m = −23
  9. 9.(−1, 8) and (−5, 6)m = 12
  10. 10.(−1, 5) and (−3, 4)m = 12
  11. 11.(9, 9) and (−4, 7)m = 213
  12. 12.(4, 1) and (−8, 5)m = −13
  13. 13.(−6, 3) and (−1, −8)m = −115
  14. 14.(6, 6) and (2, 3)m = 34
  15. 15.(0, −6) and (−1, −8)m = 2
  16. 16.(−6, 3) and (2, 9)m = 34
nation1.netSheet 20577566 · answers
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About this worksheet

Slope is the change in y divided by the change in x: (y₂ − y₁)/(x₂ − x₁). For (9, 0) and (−4, 6), that is 6/−13, so the slope is −6/13. The order of the points does not matter as long as it is the same on top and bottom.

Teaching tip

Have students label the points (x₁, y₁) and (x₂, y₂) in pencil before plugging them in.

How to use the generator

Change the settings and the sheet updates as you go. New worksheet gives a fresh set of problems with a new answer key. Print or save PDF opens your browser's print window: pick Letter paper and 100% scale, or Save as PDF to keep a copy.