Question

What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2over3 x+5 ? Enter your answer in the box.

Answer 1

y = 3/2x -11

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