$(1$ point$)$ Suppose $f(x)=9-x^2.$

$($a$)$ Find the slope of the tangent line to the graph $y=f(x)$ when $x=-1.$

Slope $=\underset{h0}{lim}(\frac{f(x+h)-f(x)}{h})=\underset{h0}{lim}(,)=$

$($b$)$ Find an equation for the tangent of to the curve $y=f(x)$ at the point $(-1,8).$

Tangent line: $y=2x+10$

$($c$)$ On a piece of paper, sketch the curve $y=f(x)$ and the tangent line together.

Note: You can earn partial credit on this problem.

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