# How do you write an equation of a line, given #(4,5)# that is perpendicular to the line #3x-4y=7#?

##### 1 Answer

#### Explanation:

Rearrange the original equation into form:

The perpendicular gradient is the negative reciprocal of

(just change the sign and flip the fraction upside down)

which is

Now use

Rearrange the resulting equation (usually asked for in integer form)