Question #cb591

1 Answer
Nov 8, 2017

y=2/3x+3y=23x+3

Explanation:

The slope of the line y = -3/2x +11y=32x+11 is -3/232

Since our unknown line is perpendicular to y = -3/2x +11y=32x+11, the slope of our unknown is 2/323 (which is the negative reciprocal of -3/232).

The unknown line passes through:
P_1(3,5)P1(3,5)

The equation of the line can be determined using:
(y-y_1)=m(x-x_1)(yy1)=m(xx1)

(y-5)=2/3(x-3)(y5)=23(x3)

Simplifying further,
y-5=2/3x-2y5=23x2

y=2/3x-2+5y=23x2+5

y=2/3x+3y=23x+3