1. **State the problem:** Find the slope of the line shown in the graph using the rise over run method. 2. **Recall the formula for slope:** $$\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. **Identify two points on the line:** From the graph, the line passes through approximately $(-4, 0)$ and $(0, 1)$. 4. **Calculate the rise:** $$\text{rise} = y_2 - y_1 = 1 - 0 = 1$$ 5. **Calculate the run:** $$\text{run} = x_2 - x_1 = 0 - (-4) = 4$$ 6. **Calculate the slope:** $$\text{slope} = \frac{1}{4}$$ 7. **Interpretation:** The slope $\frac{1}{4}$ means the line rises 1 unit vertically for every 4 units it moves horizontally to the right. **Final answer:** $$\boxed{\frac{1}{4}}$$