1. The problem asks to find the slope of the line passing through the points $(-2, -2)$ and $(1, 1)$. 2. The formula for the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. Substitute the given points into the formula: $$m = \frac{1 - (-2)}{1 - (-2)}$$ 4. Simplify the numerator and denominator: $$m = \frac{1 + 2}{1 + 2}$$ 5. This becomes: $$m = \frac{3}{3}$$ 6. Cancel the common factor 3: $$m = \frac{\cancel{3}}{\cancel{3}} = 1$$ 7. Therefore, the slope of the line is $1$. This means the line rises 1 unit vertically for every 1 unit it moves horizontally, confirming the positive slope shown in the graph.