Answer:
y = 3/2x -11
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
This means for the line y = -2/3 x + 5 which is a slope of -2/3 its perpendicular slope will be 3/2.
Substitute m=3/2 and the point (8,1) into the point slope. Then simplify it.
y - 1 = 3/2(x-8)
y - 1 = 3/2x - 24/2
y - 1 = 3/2 x - 12
y = 3/2x -11
