What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5?

y=−2/3x+5

A line perpendicular to this will have a negative reciprocal slope, i.e., 3/2

So we have

y = (3/2)(x - 8) + 1

y = (3/2)x - 12 + 1

y = (3/2)x - 11