Suppose $f(x) = 11-x^{2}$.

(a) Find the slope of the tangent line to the graph $y = f(x)$ when $x = -1$.
Slope = $\displaystyle \lim_{h \to 0} \Bigg( \frac{f(x+h)-f(x)}{h} \Bigg) = \lim_{h \to 0} \Bigg($ $\Bigg) =$ .

(b) Find an equation for the tangent of to the curve $y = f(x)$ at the point $(-1, 10)$.
Tangent line:   $y$ =

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