1. **State the problem:** Find the slope of the line passing through the points $(0, -2)$ and $(1, 2)$. 2. **Formula for slope:** The slope $m$ of a line through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ This formula represents the "rise" (change in $y$) over the "run" (change in $x$). 3. **Substitute the points:** Using $(x_1, y_1) = (0, -2)$ and $(x_2, y_2) = (1, 2)$, $$m = \frac{2 - (-2)}{1 - 0}$$ 4. **Simplify the numerator:** $$m = \frac{2 + 2}{1}$$ 5. **Simplify the fraction:** $$m = \frac{4}{1}$$ 6. **Final answer:** $$m = 4$$ The slope of the line is 4.