Decide whether the pair of lines is parallel, perpendicular, or neither.
-6x + 2y = 8 27x + 9y = 39
A)parallel
B)perpendicular
C)neither

Question

Quizplus · Accepted Answer

To determine if the lines are parallel, perpendicular, or neither, we first convert the equations into slope-intercept form (y = mx + b), where m is the slope. For the first equation, 6x + 2y = 8, we solve for y to get y = -3x + 4, so the slope is -3. For the second equation, 27x + 9y = 39, we also solve for y to get y = -3x + 39/9, simplifying to y = -3x + 13/3, so the slope is also -3. Since both lines have the same slope, they are parallel.

Decide Whether the Pair of Lines Is Parallel, Perpendicular, or Neither