# Find the slope of the line tangent to f(x)= x^2 - 9 at x= 4 and plot the point of tangency.

## Question:

Find the slope of the line tangent to {eq}f(x)= x^2 - 9 {/eq} at x= 4 and plot the point of tangency.

## Tangent Line

We can construct the equation of any line as long as we have both a point and a slope. For a tangent line, we can find both of these pieces of information by examining a function at a single point. This is because the point comes from the function itself and the slope from its derivative.

## Answer and Explanation:

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View this answerLet's find the tangent line to this function at the given point. To do so, we will need to know two things: the value of this function at this point...

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