Question: Find the slope between the two given points.
$(-9, 5)$ and $(-6, 2)$
a $m = 5$
b $m = 10$
c $m = 8$
d $m = -1$
1. **State the problem:** Find the slope $m$ of the line passing through the points $(-9, 5)$ and $(-6, 2)$.
2. **Formula for slope:** The slope 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:**
$$m = \frac{2 - 5}{-6 - (-9)} = \frac{2 - 5}{-6 + 9}$$
4. **Simplify numerator and denominator:**
$$m = \frac{-3}{3}$$
5. **Cancel common factors:**
$$m = \frac{\cancel{-3}}{\cancel{3}} = -1$$
6. **Interpretation:** The slope of the line through the points $(-9, 5)$ and $(-6, 2)$ is $-1$.
7. **Answer choice:** The correct answer is **d) $m = -1$**.