# What is the equation of the line that passes through #(5,-1)# and is perpendicular to #y=-x+5#?

##### 1 Answer

May 27, 2017

#### Explanation:

We can find the gradient of a perpendicular line by the negative inverse of the first line's gradient. So, as the gradient of the line you are given is -1, the gradient (m) of a line perpendicular to it would be

To find the equation of any line, we can use the formula

Let's sub in our values -

So,

Hope this helped; let me know if I can do anything else:)