# What is the equation of the line that passes through #(-1,4)# and is perpendicular to the line that passes through the following points: #(-2,2),(5,-6) #?

##### 1 Answer

Mar 11, 2016

#### Explanation:

The slope m, of the line passing through

Thus the slope of the line passing through

Now if the slope of two lines which are perpendicular to each other are m and m', we have the relationship

So, in our problem, the slope, m2, of the first line =

=

Let the equation of the line be

Here,

So the equation is

It passes through the points,

Substituting the x and y values,

or

So the equation is

or