Question

find the slope of a line perpendicular to x-y=16

Answer 1

-1

Answer 2

If two lines are perpendicular they have the following property:\[m _{1}m _{2}=-1\]Where m1 and m2 are the slopes of the two lines. Your line has a slope of 1 thus we solve for m2 to get the slope of a line perpendicular to your line:\[m _{2}=-1/m _{1}=-1/1=-1\]