# What is the equation of the line normal to #f(x)= -1/x # at #x=-3#?

##### 1 Answer

Mar 12, 2018

#### Explanation:

The line that is normal to

We first need to find the gradient of the tangent line at

Plugging in

We know that if two lines are perpendicular, then the product of their gradients is

Let gradient of the normal be

The normal passes through the point with x coordinate

Using point slope form of a line:

Graph: