## Calculus: Early Transcendentals 8th Edition

$m=-\frac{9}{2}$
To find the slope of the line passing through $(-3,3)$ and $(-1,-6)$, we use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. Plug in the given values of $x$ and $y$: $m=\frac{-6-3}{-1-(-3)}$. Simplify to arrive at the answer: $m=-\frac{9}{2}$.