1. **State the problem:** Find the slope of the line passing through the points $(-21, -41)$ and $(-22, -9)$. 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 points:** Here, $x_1 = -21$, $y_1 = -41$, $x_2 = -22$, and $y_2 = -9$. So, $$m = \frac{-9 - (-41)}{-22 - (-21)} = \frac{-9 + 41}{-22 + 21}$$ 4. **Simplify numerator and denominator:** $$m = \frac{32}{-1}$$ 5. **Simplify the fraction:** $$m = -32$$ **Final answer:** The slope of the line is $-32$.