Question: Find the slope of the line going through the points $(-4, 2)$ and $(3, -5)$. The slope of the line, $m$, is ____.
1. **State the problem:** Find the slope $m$ of the line passing through points $(-4, 2)$ and $(3, -5)$.
2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Substitute the given points:** Here, $x_1 = -4$, $y_1 = 2$, $x_2 = 3$, and $y_2 = -5$. So,
$$m = \frac{-5 - 2}{3 - (-4)} = \frac{-5 - 2}{3 + 4}$$
4. **Simplify numerator and denominator:**
$$m = \frac{-7}{7}$$
5. **Simplify the fraction:**
$$m = \frac{\cancel{ -7}}{\cancel{7}} = -1$$
6. **Final answer:** The slope of the line is $\boxed{-1}$.