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**1. If an equation of the tangent line to the curve y=f(x) at the**

point a=2 where is y=4x-5, find f(2) and f'(2).

point a=2 where is y=4x-5, find f(2) and f'(2).

## Homework Equations

m=[itex]\frac{f(x)-f(a)}{x-a}[/itex]

## The Attempt at a Solution

To be honest, I really don't know where to start. Here's what I have so far:

m=[itex]\frac{f(x)-f(a)}{x-a}[/itex]

I know slope is 4 according to the equation above. Also, I know there is a point (2,3), plugging a into the equation.

4=[itex]\frac{f(x)-3)}{x-2}[/itex]

Now what can I do? This doesn't help me find f(2) or f'(2).

Any help would be greatly appreciated.