Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

Question

y=-1/4x+10
-2x+8y=6
Answers:
parallel
perpendicular
neither

Answer 1

Since the second equation can be rewritten as y=1/4x+3/4, we can see that the slopes of the two equations are negative reciprocals of each other. Therefore, the lines are perpendicular.