[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}
\\\\\\
f(x)=-3x+2\quad
\begin{cases}
x_1=-1\\
x_2=2
\end{cases}\implies \cfrac{f(2)-f(-1)}{2-(-1)}\implies \cfrac{f(2)-f(-1)}{2+1}
\\\\\\
\cfrac{[-3(2)+2] - [-3(-1)+2]}{3}\implies \cfrac{[-6+2]-[3+2]}{3}
\\\\\\
\cfrac{-4-5}{3}\implies \cfrac{-9}{3}\implies -3[/tex]
