8y - 16 = 5x
8y = 5x + 16
y = 5/8 x + 2 , this line has slope = 5/8
Perpendicular lines, slope is opposite and reciprocal so slope of the line that is perpendicular to 8y - 16 = 5x is -8/5
Passing through (5, -5)
y = mx + b
b = y - mx
b = -5 - (-8/5)(5)
b = -5 + 8
b = 3
Equation
y = -8/5 x + 3
Answer
A. y = -8/5 x + 3