Determine whether the lines are parallel, perpendicular, or neither.
-6x + 2y = 8 15x + 5y = 23
A)perpendicular
B)neither
C)parallel

Question

Quizplus · Accepted Answer

We can rewrite both equations in slope-intercept form (y = mx + b) by solving for y:

6x + 2y = 8  →  2y = -6x + 8  →  y = -3x + 4
15x + 5y = 23  →  5y = -15x + 23  →  y = -3x + 4.6

Notice that both equations have the same slope, -3. Therefore, the lines are parallel.

Determine Whether the Lines Are Parallel, Perpendicular, or Neither