# What is the equation of the line with slope #3# which is tangent to the curve #f(x)=7x-x^2#?

##### 1 Answer

Sep 1, 2016

#### Explanation:

If

then the slope (for any general

when the slope is

then

If

and the point on the curve were

Therefore, for the tangent, we have a slope of

Using the slope-point form of the equation:

or