Question #cb591

1 Answer
Nov 8, 2017

y=2/3x+3

Explanation:

The slope of the line y = -3/2x +11 is -3/2

Since our unknown line is perpendicular to y = -3/2x +11, the slope of our unknown is 2/3 (which is the negative reciprocal of -3/2).

The unknown line passes through:
P_1(3,5)

The equation of the line can be determined using:
(y-y_1)=m(x-x_1)

(y-5)=2/3(x-3)

Simplifying further,
y-5=2/3x-2

y=2/3x-2+5

y=2/3x+3