Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
-6x + 2y = 8
12x + 4y = 19
A) Perpendicular
B) Neither
C) Parallel

Question

Quizplus · Accepted Answer

The slopes of the lines are equal, indicating that the lines are parallel. To see this, both equations can be put into slope-intercept form (y = mx + b). For the first equation, 2y = -6x + 8, so y = -3x + 4. For the second equation, 4y = -12x + 19, so y = -3x + 19/4. Both have a slope of -3, indicating parallel lines.

Determine Whether the Graphs of the Equations Are Parallel Lines