Question

Identify the equations as parallel lines, perpendicular lines, or neither.

Equation 1: -3x + y = 7 Equation 2: 3y = -x -3

A. Perpendicular
B. Parallel
C. Neither

Answer 1

perpendicular

Explanation:

slopes are opposite reciprocals

Answer 2

B. Parallel

Explanation:

Equation 1 simplified: y = 3x+7

Equation 2 simplified: y = -x/3-3

The slopes are completely different, ruling out the possibility of the lines being parallel.

But we also see the slopes of the equations are opposite and negative to each other. Making the lines perpendicular.