Question

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.

B. The lines are perpendicular to each other because -5/4 and 4/5 are opposite reciprocals of each other.

C.The lines are neither parallel nor perpendicular to each other because –8 and 1/8 are not opposite reciprocals of each other.

D. The lines are neither parallel nor perpendicular to each other because -5/4 and 4/5 are not opposite reciprocals of each other.

Answer 1

Answer:

The lines are perpendicular to each other because $-8$ and $\frac{1}{8}$ are opposite reciprocals of each other.

Step-by-step explanation:

The  first line has equation $y=-8x-\frac{5}{4}$.

The slope of this equation is $-8$.

The second equation is $y=\frac{1}{8}x+\frac{4}{5}$

The slope of this equation is $\frac{1}{8}$

The two slopes are negative reciprocals of each other.

This means that the two lines are perpendicular.