[tex]\bf slope = {{ m}}= \cfrac{rise}{run} \implies
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}
\\\\\\
\begin{cases}
x_1=3\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(3)}{4-3}\implies \cfrac{9-3}{4-3}\implies \cfrac{6}{1}\implies 6[/tex]
