Question

What is the slope of a line perpendicular to the line whose equation is x+4y=16. .

Answer 1

The slope is
`-(1)/(4)`.

Explanation:

This is the slope formula equation.

`y=mx+b`

`x+4y=16`

First, you divide the entire equation by 4 to get rid of the 4 in 4y.

`(x)/(4) +y=4`

Then, you subtract
`(x)/(4)` on both sides.

`y=-(x)/(4) +4`

In front of the x should be and invisible 1. So this should be your slope.

`m=-(1)/(4)`