## Elementary Algebra

$m=-2$
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$, the slope of the line determined by the given points, $( -3,4 ) \text{ and } ( 2,-6 ),$ is \begin{array}{l}\require{cancel} m=\dfrac{4-(-6)}{-3-2} \\\\ m=\dfrac{4+6}{-5} \\\\ m=\dfrac{10}{-5} \\\\ m=-2 .\end{array}