[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}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ p(t)= t^4-2t^2+t-3 \qquad \begin{cases} t_1=1.5\\ t_2=3.2 \end{cases}\implies \cfrac{p(3.2)-p(1.5)}{3.2-1.5} \\\\\\ \cfrac{84.5776~-~(-0.9375)}{1.7}\implies 50.303[/tex]
