Write an equation in slope-intercept form for the line that passes through (5, 4) and is Perpendicular to the line Y = x – 5.

Answer 1

y=mx+b where m=slope = 1. the perpendicular line has a negative inverse slope =-1

y=-x + b, plug in the point (5,4) to solve for b = the y intercept

4 = -(5) + b

b = 4+5 = 9

y=-x+9 is a line perpendicular to y=x-5 through the point (5,4)