1. The problem asks for the slope of a line given its graph. 2. The graph is a horizontal line at $y = -2$. 3. Recall that the slope of a horizontal line is always $0$ because there is no vertical change as you move along the line. 4. The formula for slope between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 5. For a horizontal line, $y_2 = y_1$, so: $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0}{x_2 - x_1} = 0$$ 6. Therefore, the slope of the line $y = -2$ is $0$. Final answer: $0$