1. **State the problem:** Find the slope of the line passing through the points $(-6, -6)$ and $(0, -1)$. 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:** Using $(-6, -6)$ as $(x_1, y_1)$ and $(0, -1)$ as $(x_2, y_2)$, $$m = \frac{-1 - (-6)}{0 - (-6)} = \frac{-1 + 6}{0 + 6} = \frac{5}{6}$$ 4. **Simplify the fraction:** The fraction $\frac{5}{6}$ is already in simplest form. 5. **Interpretation:** The slope $\frac{5}{6}$ means the line rises 5 units vertically for every 6 units it moves horizontally to the right. **Final answer:** $$m = \frac{5}{6}$$