Answer
$m = -\frac{3}{2}$
Work Step by Step
We are given the two points $(-3, 7)$ and $(-1, 4)$.
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:
$m = \frac{4 - 7}{-1 - (-3)}$
Subtract the numerator and denominator to simplify:
$m = \frac{-3}{2}$