Find the equation that passes through (-2,5) and is perpendicular to the line 2x+2y=18

Answer 1

2x + 2y = 18

x + y = 9

y = 9 - x = -x + 9

Slope of this line is -1

Slope of perpendicular line is (-1) / -1 = 1

Through (-2,5)

(y-5) = (1) (x-(-2))

y-5 = x + 2

y = x + 7