Question

What do the following two equation represent

• y = 3/4x -2

• y +2 = 4/3 (x-2)

A. The same line

B. distinct parallel lines

C. Perpendicular lines

D. Intersecting but not perpendicular lines

Answer 1

D

Explanation:

They are clearly not the same line since they don't have the same slope. Because they don't have the same slope, they're not parallel either. In order to be perpendicular, the product of the slopes of both lines must be -1. Since 3/4 * 4/3 ≠ -1, they are not perpendicular, leaving us with option D as the answer.