Question

How do you find the slope that is perpendicular to the line `7x-6y=13`?

Answer 1

`-6/7`

Explanation:

First of all solve for `y`

`7x-6y=13=>-6y=13-7x`

`y=(13-7x)/-6=-13/6+(7x)/6`

`color(red)(y=color(blue)7/color(green)6x-13/6)`

If the line is perpendicular to this line then its slope will be the negative reciprocal of the slope of is line

So the slope is `color(red)-color(green)6/color(blue)7`