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

Question

Quizplus · Accepted Answer

To determine if the lines are parallel, perpendicular, or neither, we can compare their slopes. The slope-intercept form of a line is y = mx + b, where m is the slope. For the first equation, 12x + 4y = 16, we can solve for y to get y = -3x + 4, so the slope is -3. For the second equation, 15x + 5y = 22, solving for y gives y = -3x + 22/5, so the slope is also -3. Since both lines have the same slope, they are parallel.

Determine Whether the Graphs of the Equations Are Parallel Lines