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Parallel, Perpendicular and Intersecting Graphs

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Linear Graphs Learning Material
Tutorial IDTitleTutorialVideo
Tutorial
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Notes
Revision
Questions
14.4Parallel, Perpendicular and Intersecting Graphs

Parallel, Perpendicular and Intersecting Graphs Revision Questions

1. . The lines L1: y = -2x + 1 and L2: y = mx + 4 are parallel. What is the value of m?

  1. -2
  2. 1
  3. 1/2
  4. 2

Correct Answer: A

2. . Which of the following lines is parallel to y = 3x - 1?

  1. y = -3x - 1
  2. y = -3x + 1
  3. y = 3x + 7
  4. y = -x + 3

Correct Answer: C

3. . The line L1 is parallel to another line L2 with equation y = mx + 4. The x-intercept of L2 is at x = 2. What is the gradient m of the line L1?

  1. -2
  2. -1
  3. 2
  4. 4

Correct Answer: A

4. . The line L1 with equation y = 5x - 1 is perpendicular to another line L2 with equation y = mx - 4. What is the gradient of the line L2?

  1. 5
  2. 1/5
  3. -1/5
  4. -5

Correct Answer: C

5. . The line L1: y = 2x + 3 is perpendicular to another line L2 that passes through point A(5, 1). What is the equation of L2?

  1. y = -x/2 + 7/2
  2. y = -2x + 7/2
  3. y = -x/2 - 7
  4. y = -x/2 - 7/2

Correct Answer: A

6. . The line L1: y = -3x + 1 is parallel to another line L2 that passes through point A(-4, 2). What is the equation of L2?

  1. y = -3x + 2
  2. y = -3x - 10
  3. y = x/3 + 10/3
  4. y = x/3 + 10

Correct Answer: B

7. . What is the distance between the x-intercepts of the lines L1: y = 5x - 1 and L2: y = 5x - 4?

  1. 5 units
  2. 3 units
  3. 0.8 units
  4. 0.6 units

Correct Answer: D

8. . What is the intercept point A of the lines y = 3x - 1 and y = -x/3 + 2?

  1. A(17/10, 41/10)
  2. A(17, 41)
  3. A(9/10, 17/10)
  4. A(9/10, 41/10)

Correct Answer: C

9. . The lines y = 2x - 7 and -7x + 2 are

  1. Parallel
  2. Perpendicular
  3. Intersecting
  4. Convergent

Correct Answer: C

10. . The lines y = 4x - n and y = mx + 5 intercept at A(2, 3). What are the values of m and n?

  1. m = -1; n = 5
  2. m = 1; n = 5
  3. m = 5; n = -1
  4. m = 1, n = -5

Correct Answer: A

11. . What is the distance between the lines L1: y = 2x + 5 and L2: y = 2x - 3?

  1. 18/5
  2. 17/5
  3. 17
  4. 18

Correct Answer: A

12. . What is the equation of the perpendicular line to that shown in the figure? It must pass through point A.

Math Tutorials: Parallel, Perpendicular and Intersecting Graphs Example
  1. y = x - 6
  2. y = -x - 6
  3. y = x + 6
  4. y = -x + 6

Correct Answer: D

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