Which best describes the graphs of the line that passes through (−12, 15) and (4, −5), and the line that passes through (−8, −9) and (16, 21)?

A)
They are parallel lines.

B)
They are vertical lines.

C)
They are perpendicular lines.

D)
They are intersecting lines.

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

The slope of the line that passes through (−12, 15) and (4, −5) is

The slope of the line going through (−8, −9) and (16, 21) is

The product of the two slopes is

Since

the two lines are perpendicular.