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The Slope of a Line Practice Questions

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Updated on Oct 5, 2011

Review the following concept if necessary: The Slope of a Line Study Guide

The Slope of a Line Practice Questions

Problems

Find the slope of each line.

  1. The Slope of a Line
  2. The Slope of a Line
  3. The Slope of a Line
  4. The Slope of a Line
  5. The Slope of a Line
  6. The Slope of a Line

For questions 7 and 8, graph the line made by the given coordinates and find its slope.

  1. (3,2) and (–7,6)
  2. (–1,5) and (3,–5)

 

Tell whether the slope of each line is positive, negative, zero, or undefined (no slope.

  1. The Slope of a Line
  2. The Slope of a Line
  3. The Slope of a Line
  4. The Slope of a Line
  5. The Slope of a Line
  6. The Slope of a Line

For questions 15–18 use the shapes in the following figures and label the type of slope of each line segment, moving from left to right.

  1. The Slope of a Line
  2. The Slope of a Line
  3. The Slope of a Line
  4. The Slope of a Line

 

Use a formula to find the slope of the line through each pair of points.

  1. (0,0) and (5,6)
  2. (–3,–2) and (–4,–3)
  3. (1,–3) and (–1,–3)
  4. (5,–6) and (–2,8)
  5. (–2,2) and (–2,3)
  6. (–3,0) and (–7,–3)
  7. (8,–5) and (–10,7)
  8. (5,6) and (–1,6)
  9. (5,3) and (–3,–5)
  10. (–3,1) and (1,7)

For questions 29–30, graph the points of the triangle and then calculate the slope of each side.

  1. ΔSTA: S(2,3); T(4,–1); A(2,–4)
  2. ΔABC: A(–4,–5); B(–4,–1); C(0,–5)
  3.  

Answers

  1. positive
  2. negative
  3. zero
  4. positive
  5. undefined (no slope)
  6. negative
  7. negative, zero, positive, undefined
  8. zero, positive, zero, negative, zero
  9. negative, positive, negative, zero, undefined
  10. undefined, zero, undefined, zero, positive
  11. 1
  12. 0
  13. –2
  14. undefined (no slope)
  15. 0
  16. 1
  17. slope AT = ; slope SA = undefined; slope ST = –2
  18. slope AC = 0; slope AB = undefined; slope BC = –1
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