Are the lines y=-x-2 and 4x+4y=16 perpendicular? Explain.

Answer 1

4x+4y =16

divide by 4

x+y=4

y=-x+4

compare that to y=-x+2

the slopes are the same, both -1. They're parallel lines, Not perpendicular. To be perpendicular the slopes have to be negative inverses of each other.