Question

Question #90e0c

Answer 1

`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.