1. **State the problem:** We are given a linear relationship between the number of years since 2009, $X$, and the price per box of oranges, $Y$. We need to find the slope and the Y-intercept of this linear relationship. 2. **Identify points from the graph:** The graph passes near the points $(0, 0.9)$ and $(10, 1.6)$ approximately. 3. **Calculate the slope:** The slope $m$ is given by the formula: $$m = \frac{Y_2 - Y_1}{X_2 - X_1} = \frac{1.6 - 0.9}{10 - 0} = \frac{0.7}{10} = 0.07$$ 4. **Determine the Y-intercept:** The Y-intercept is the value of $Y$ when $X=0$. From the graph, this is approximately $0.9$. 5. **Interpretation:** The slope $0.07$ means the price per box increases by 7 cents each year since 2009. The Y-intercept $0.9$ means the price per box was about 90 cents in 2009. **Final answers:** - Slope: $0.07$ - Y-intercept: $0.9$