Question

What is an equation of the line that is perpendicular to y=−2/3x+5 and passes through the point (2, 11) ? Enter your equation in the box.

Answer 1

Answer:

$y - 11 = \frac{3}{2}(x -2)$

Step-by-step explanation:

A perpendicular line is a line whose slope is the negative reciprocal of the other line. The line y = -2/3x + 5 has slope -2/3. This means the line perpendicular will be 3/2.

Substitute 3/2 and (2,11) into the point slope form of a line.

$y - y_1 = m(x-x_1)\\y - 11 = \frac{3}{2}(x -2)$