Question

Determine whether the graphs of the given equations are parallel, perpendicular, or neither.

y = x + 11
y = -x + 2
A. Parallel
B. Perpendicular
C. Neither

Answer 1

Perpendicular

Explanation:

To help, graph the lines. Once graphed, the lines intersect. Therefore, its perpendicular since parallel means the are the same distance from each other. If it was neither, they wouldn't be the same length apart and they also wouldn't meet in middle.

Answer 2

They are perpendicular because they have opposite reciprocal slopes.