Question

Question #91736

Answer 1

`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`