Graphing Parallel & Perpendicular Lines: 8th Grade Quiz

1. A park has two walking paths that run parallel to each other. If one path is represented by the equation y = 2x + 3, what is the equation of the other path that is parallel and passes through the point (1, 5)?

• y = 2x + 3

• y = 2x + 1

• y = 2x - 2

• y = 3x + 5

2. A street runs perpendicular to a river. If the equation of the river is y = -1/2x + 4, what is the slope of the street?

• 1/2

• 2

• 0

• -1

Tags

CCSS.8.EE.B.5

3. Two buildings are constructed such that one is parallel to the other. If the first building is located at (2, 3) and has a slope of 3, what is the equation of the line representing the second building that passes through the point (4, 7)?

• y = 3x + 1

• y = 2x - 1

• y = 4x - 5

• y = 3x - 5

4. A skateboard ramp is designed to be perpendicular to a flat surface. If the flat surface can be represented by the line y = 3x - 1, what is the slope of the skateboard ramp?

• -3

• 1/3

• -1/3

• 0

Tags

CCSS.8.EE.B.5

5. A city planner is designing two roads that are parallel. If one road is represented by the equation y = 4x + 2, what is the equation of another road that is parallel and passes through the point (0, -1)?

• y = 4x + 1

• y = 4x - 1

• y = 2x - 1

• y = 4x + 3

6. A fence is built perpendicular to a wall. If the wall can be represented by the equation y = 2x + 1, what is the slope of the fence?

• 1/2

• 2

• -1

• 0

• -1/2

Tags

CCSS.8.EE.B.6

7. A line representing a river is given by the equation y = 1/3x + 2. If a bridge is built perpendicular to the river at the point (3, 3), what is the equation of the bridge?

• y = 2x - 3

• y = -3x + 12

• y = 1/3x + 2

• y = -1/3x + 4

8. A bike path runs parallel to a road represented by the equation y = -x + 5. If the bike path passes through the point (2, 1), what is the equation of the bike path?

• y = -x + 4

• y = -2x + 1

• y = -x + 3

• y = x + 5

9. A construction site has two walls that are perpendicular to each other. If one wall is represented by the equation y = 2x + 3, what is the equation of the other wall?

• y = 2x - 3

• y = -1/2x + 3

• y = -2x + 3

• y = 1/2x + 3

10. A designer is creating a new park layout with two paths. If one path is represented by the equation y = -3x + 4, what is the equation of a path that is parallel to it and passes through the point (1, 1)?

• y = 3x + 1

• y = -3x - 1

• y = -3x + 4

• y = -3x + 2