Mastering Slopes: Parallel & Perpendicular Lines Quiz

1. A park has two walking paths that run parallel to each other. The first path can be represented by the equation y = 2x + 3. Write the equation of a second path that is parallel to the first.

• y = 3x + 3

• y = 2x + 5

• y = 2x + 1

• y = 2x - 2

2. A street intersects another street at a right angle. If one street has a slope of -3, what is the slope of the street that is perpendicular to it?

• 1/3

• 0

• 2

• -1/3

3. A skateboard ramp is designed to be parallel to a line represented by the equation y = 1/2x - 4. Write the equation of a ramp that is parallel to this line and passes through the point (2, 1).

• y = \frac{1}{2}x

• y = -rac{1}{2}x + 5

• y = rac{1}{2}x - 3

• y = rac{1}{2}x + 2

4. Two friends are walking in a city. One walks along a path represented by y = 4x + 1, while the other walks along a path that is perpendicular to the first. What is the slope of the second friend's path?

• 1/4

• -1/4

• -4

• 0

5. A construction company is building two walls that are parallel to each other. If one wall is represented by the equation y = -x + 5, write the equation of a wall that is parallel and passes through the point (3, 2).

• y = -x + 4

• y = -x + 6

• y = -x + 2

• y = x + 5

6. A bike path is designed to be perpendicular to a road represented by the equation y = 3x + 2. What is the slope of the bike path, and write its equation if it passes through the point (1, 4).

• y = 2x + 1

• y = -1/3x + 13/3

• y = 3x - 1

• y = -2x + 5

7. A river flows in a straight line represented by the equation y = 2x - 1. A bridge is built perpendicular to the river. What is the slope of the bridge, and write its equation if it passes through the point (0, 3).

• Slope of the bridge: -1/2; Equation of the bridge: y = -1/2x + 3

• Slope of the bridge: -3; Equation of the bridge: y = -3x + 3

• Slope of the bridge: 1; Equation of the bridge: y = x + 3

• Slope of the bridge: 2; Equation of the bridge: y = 2x + 3

8. A line representing a fence is given by the equation y = -1/3x + 2. Write the equation of a line that is parallel to the fence and passes through the point (6, 5).

• y = 1/3x + 2

• y = -1/3x - 1

• y = -1/3x + 7

• y = -1/3x + 5

9. A soccer field has two goal lines that are parallel. If one goal line can be represented by the equation y = 5, what is the equation of another goal line that is parallel and 2 units above it?

• y = 9

• y = 3

• y = 7

• y = 5

10. A road has a slope of 2. If a new road is built perpendicular to it, what will be the slope of the new road, and write its equation if it passes through the point (4, 6).

• Slope of new road: 1; Equation: y = x + 5

• Slope of new road: -2; Equation: y = -2x + 10

• Slope of new road: 2; Equation: y = 2x + 2

• Slope of new road: -1/2; Equation: y = -1/2x + 8