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#