Answer
$m = \frac{8}{3}$
Work Step by Step
We are given the two points $(4, -6)$ and $(7, 2)$.
Let's use the formula to find the slope $m$ given two points:
$m = \frac{y_2 - y_1}{x_2 - x_1}$
Let's plug in the values into this formula:
$m = \frac{2 - (-6)}{7 - 4}$
Subtract the numerator and denominator to simplify:
$m = \frac{8}{3}$