# What is the equation of the line tangent to #f(x)= sqrt(3-2x) # at #x=-2#?

##### 1 Answer

Find the first derivative to get the slope of the tangent line. Then use the point slope form to get the general equation of the tangent line.

#### Explanation:

First, find the first derivative because this will give you the slope of the tangent line.

Or simply:

Substituting

The slope of the tangent line is

You have

Solving for

Using the point-slope form:

You can put it in slope-intercept form by solving for