Question #90e0c

1 Answer
Oct 16, 2017

#y=-4/3x-44/3#

Explanation:

To start, if the new line is perpendicular to the original line, that means its slope is opposite than the original slope. So we need the opposite sign reciprocal of the original slope:

#(3)/(4)->-(4)/(3)#

Now plug your new slope (#m#) and your set of points you want to cross into this (you're solving for #b#, the y-intercept):

#y=mx+b#

#12=-4/3(-20)+b#

#12=80/3+b#

#b=-44/3#

Now set up your new equation using your new information (slope and y-intercept):

#y=-4/3x-44/3#

I put the y-intercept in fraction form because it turns into a repeating decimal.