Determine whether the lines are parallel, perpendicular, or neither.
-12x + 4y = 16 9x + 3y = 15
A)perpendicular
B)parallel
C)neither

Question

Quizplus · Accepted Answer

We can determine the slope of each line by putting them in slope-intercept form (y = mx + b, where m is the slope):

12x + 4y = 16
4y = -12x + 16
y = -3x + 4

9x + 3y = 15
3y = -9x + 15
y = -3x + 5

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

Determine Whether the Lines Are Parallel, Perpendicular, or Neither