# How do you determine the slope given f(-4)=2 and f(0)=3?

$\left\{\begin{matrix}f \left(- 4\right) = 2 \implies \left({x}_{1} {x}_{2}\right) = \left(- 4 2\right) \\ f \left(0\right) = 3 \implies \left({x}_{2} {y}_{2}\right) = \left(0 3\right)\end{matrix}\right.$
By Slope Formula, the slope $m$ is
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{3 - 2}{0 - \left(- 4\right)} = \frac{1}{4}$.