Question

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

Answer 1

No, they are not perpendicular because 4x+4y=16 equals y=-x+4 in slope-intercept form.
Two lines are perpendicular if their slopes product is -1.
-1×-1=1 it is not -1.

Answer 2

No, because because 4x+4y=16 is equal to y=-x+2 making the two lines have the same slope of -1 which makes them parallel but not Perpendicular.