Mastering Slopes: Parallel & Perpendicular Lines Quiz

1. A park has a walking path that runs parallel to a road. If the path has a slope of 2, what is the slope of the road?

• 3

• 1

• -2

• 2

2. Two friends are designing a basketball court. One line of the court is represented by the equation y = 3x + 1. What is the equation of a line that is perpendicular to this line and passes through the point (2, 5)?

• y = -1/3x + 7/3

• y = 3x + 5

• y = -2x + 1

• y = 1/3x + 4

3. A train track runs parallel to a river. If the equation of the river's bank is y = 0.5x + 3, what is the slope of the train track?

• 0.5

• -0.5

• 1.5

• 3

4. A street is perpendicular to a highway. If the highway has a slope of -1/2, what is the slope of the street?

• -1

• 1/2

• -2

• 2

5. A gardener wants to plant two rows of flowers. The first row is represented by the equation y = 4x - 2. Write the equation of a row that is parallel to this one and passes through the point (1, 3).

• y = 4x - 1

• y = 4x + 3

• y = 2x - 1

• y = 4x + 2

6. A building is designed with a wall that has a slope of 1. If another wall is to be built perpendicular to it, what will be the slope of the second wall?

• 2

• -1

• 0.5

• 0

7. A bike path runs parallel to a riverbank with the equation y = 2x + 4. If a new path is to be built that is perpendicular to the bike path and passes through the point (3, 10), what is the equation of the new path?

• y = -1/2x + 11.5

• y = 1/2x + 5

• y = -2x + 7

• y = 2x + 10

8. A road has a slope of 3. If a new road is built perpendicular to it, what will be the slope of the new road?

• -1/3

• 1/3

• -2/3

• 2

9. A soccer field has two lines that are perpendicular to each other. If one line has the equation y = -2x + 6, what is the slope of the line that is perpendicular to it?

• 3

• -1

• 1/2

• 0

10. A city planner is designing two streets. One street has a slope of 1/3 and the other street is parallel to it. Write the equation of the parallel street that passes through the point (0, 2).

• y = (1/3)x - 2

• y = (1/2)x + 2

• y = (1/3)x + 2

• y = (1/3)x + 1