For the function $\small{y = x^{2}+3x+6}$:

(a) Find a formula for the slope of the tangent line to the graph of $\small{f}$ at a general point $\small{x = a}$. Be sure that your formula is in terms of $\small{a}$.

(b) Using this formula, find the slope of the tangent line to $\small{f}$ at $\small{x = 1}$.

 Slope at $\small{x = a :}$ Slope at $\small{x = 1 :}$