Determine whether the given lines are parallel, perpendicular, or neither.
-12x + 4y = 16 15x + 5y = 22
A) Neither
B) Perpendicular
C) Parallel

Question

Quizplus · Accepted Answer

To determine the relationship between the two lines, we first convert the equations into slope-intercept form (y = mx + b), where m is the slope. For the first equation, 12x + 4y = 16, we get y = -3x + 4. For the second equation, 15x + 5y = 22, we get y = -3x + 22/5. Both lines have the same slope (-3), which means they are parallel.

Determine Whether the Given Lines Are Parallel, Perpendicular, or Neither