write an equation in slope intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation

Question

The equation I need answered

(-6,5), x - y = 5

Answer 1

x-y =5

y =x-5 has slope = 1

negative inverse = -1

y= -x +b is the perpendicular line

to solve for b, plug in the point (-6,5)

5 = -(-6) +b

b = 5-6 = -1

y = -x -1 is the perpendicular line through the given point