Equations of Parallel and Perpendicular Lines: Quiz

What is the slope of a line that is parallel to the line y = -1/5?

A. -1/5

Which statement is true about the graphs of the two lines y=-8x-5/4 and y=1/8x+4/5 ?

A. The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocals of each other.

Is AB parallel to CD? Explain.

A. Yes, because both lines have a slope of 4/3.

What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4)?

A. x=-5

What is the slope of a line that is parallel to the line y = 3/4x + 2?

C. 3/4

What is the slope of a line that is perpendicular to the line y = 1/2x + 5?

D. 2

Which statement is true about the graphs of the two lines y = -6 and x =1/6 ?

D. The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope of 0, and the graph of x = 1/6 is a vertical line with a slope that is undefined.

What is the slope of a line that is perpendicular to the line y = 1?

D. undefined

What is the y-intercept of the equation of the line y=3/5x+10 that is perpendicular to the line and passes through the point (15,-5)?

D. y=-5/3x+20

Is AB perpendicular to CD? Explain.

No, because the slope of AB is 5/3 and the slope of CD is -3/4.