# What is the equation of the line that passes through #(2,1)# and is perpendicular to the line that passes through the following points: #(8,-5),(3,9) #?

##### 1 Answer

Jan 10, 2016

Let

First of all we have to find out the slope of the line that passes through

After knowing the slope of the line passing through

Slope of

Let the slope of the line perpendicular to

Then

Now, we know two things about the required line

(i) Slope of that line

(ii) The point through which the line passes

These two things are enough to find the equation.

Using point-slope form

This is the required equation.