1. **State the problem:** We are given a line passing through points approximately $(-9,5)$ and $(9,-5)$ and asked to find the slope of the line in simplest form. 2. **Formula for slope:** The slope $m$ of a line passing through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by: $$m=\frac{y_2 - y_1}{x_2 - x_1}$$ 3. **Identify points:** From the graph, the two points are approximately $(-9,5)$ and $(9,-5)$. 4. **Calculate the slope:** $$m=\frac{-5 - 5}{9 - (-9)}=\frac{-10}{9 + 9}=\frac{-10}{18}$$ 5. **Simplify the fraction:** $$m=\frac{\cancel{-10}}{\cancel{18}}=\frac{-5}{9}$$ 6. **Interpretation:** The slope is $-\frac{5}{9}$, which means for every 9 units you move to the right (run), the line goes down 5 units (rise). **Final answer:** The slope of the line is $-\frac{5}{9}$.