Slope Strategies: Parallel & Perpendicular Lines Quiz

1. A park has two walking paths that run parallel to each other. The first path has a slope of 2. What is the slope of the second path?

• 2

• -2

• 3

• 1

2. A street is being designed to be perpendicular to an existing road with a slope of -3. What will be the slope of the new street?

• 2

• 1/3

• -1

• 0

3. If a line passes through the point (1, 2) and is parallel to the line y = 4x + 1, what is the equation of the new line?

• y = 4x - 2

• y = 4x + 3

• y = 4x + 2

• y = 2x + 1

4. A skateboard ramp is designed to be perpendicular to a flat surface with a slope of 1/2. What is the slope of the ramp?

• 1/2

• 0

• -2

• -1

5. Two friends are walking in a straight line. One walks along a path with the equation y = 3x + 5. If the other friend walks parallel to this path, what is the equation of their path if they start at the point (0, 2)?

• y = 3x + 5

• y = 3x + 2

• y = 2x + 2

• y = 3x - 1

6. A construction company is building two walls that are perpendicular to each other. If one wall has a slope of 4, what is the slope of the other wall?

• -4

• -1/4

• 0

• 1/4

7. A bike path runs parallel to a river with the equation y = -2x + 3. Write the equation of a bike path that passes through the point (2, 1).

• y = 2x + 3

• y = -x + 4

• y = -2x + 1

• y = -2x + 5

8. A line has a slope of 1/3 and passes through the point (6, 4). Write the equation of a line that is perpendicular to this line and passes through the origin.

• y = -3x

• y = 3x

• y = -1/3x

• y = 1/3x

9. A new road is being built parallel to an existing road with the equation y = 5x - 2. If the new road passes through the point (1, 3), what is its equation?

• y = 3x + 1

• y = 5x + 4

• y = 2x - 1

• y = 5x - 2

10. A soccer field has two goal lines that are perpendicular to each other. If one goal line has a slope of -1, what is the slope of the other goal line?

• 1

• 0

• -2

• 2