Answer:
y = 6/5x + 2
Step-by-step explanation:
First let's fix this equation
5x + 6y = 36 (subtract 5x on both sides)
6y = -5x + 36 (divide by 6 on both sides)
y = -5/6x + 6
NOW
The perpendicular slope of this equation is 6/5
Now we have to plug in (-5,-4) to get the y-intercept
-4 = 6/5(-5) + b (distribute 6/5 to -5) (b represents the y-intercept)
-4 = -6 + b (add 6 on both sides)
2 = b
So your equation is...
y = 6/5x + 2
HOPE THIS HELPED!!!!!
