what is a line that is perpendicular to y=x-6 and passes threw the points (-9,-3)

Question

find the distance from point A (-9,-3) to the given line y=x-6

Answer 1

the slope of the perpendicular line is the negative inverse of one, or -1

y=(-1)x + b where b is the y intercept. Plug in the point x=-9 and y=-3 to solve for b

-3 = 9 + b

b = -12

the perpendicular line through that point is

y=-x -12