Answer:
y = 5/4x + 2
Explanation:
First, we convert 4x + 5y = 15 to slope intercept form (y=mx+b):
5y = -4x + 15
Divide both sides by five
y = -4/5 (x) + 3
The slope is -4/5
A perpendicular slope is the negative reciprocal of the other line. To find the negative reciprocal, you switch the numerator and denominator and switch the sign.
Slope = 5/4
Plug the slope and (-4, -3) into the slope-intercept form:
-3 = ( 5/4 · -4 ) + b
Isolate b (the y-intercept):
-3 = -5 + b
b = 2
y = 5/4x + 2