Question #91736

1 Answer
Nov 5, 2017

y=-9/14x-75/7

Explanation:

P_1= (-9,0)
P_2=(0,14)
The labeling of the points is arbitrary, just be consistent.

The slope of m can be computed as:
m_m=(y_2-y_1)/(x_2-x_1)
m_m=(14-0)/(0-(-9))
m_m=14/9

The slope of the line perpendicular to m is equal to the negative reciprocal of m_m which is -9/14

To determine the equation of line n,
P_n=(30,-30)
y-y_n=m(x-x_n)
y-(-30)=(-9/14)(x-30)

Simplifying further,
y+30=-9/14x+135/7
y=-9/14x+135/7-30
y=-9/14x-75/7