1. **State the problem:** Find the slope $m$ of Line 1 passing through points $(-9, 99)$ and $(6, -51)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. **Calculate slope of Line 1:** $$m = \frac{-51 - 99}{6 - (-9)} = \frac{-51 - 99}{6 + 9} = \frac{-150}{15}$$ 4. **Simplify the fraction:** $$m = \frac{\cancel{-150}}{\cancel{15}} = -10$$ 5. **Answer for Line 1:** The slope $m$ of Line 1 is $-10$. 6. **State the problem:** Find the slope $m$ of Line 2 passing through points $(0, 10)$ and $(-30, 7)$. 7. **Calculate slope of Line 2:** $$m = \frac{7 - 10}{-30 - 0} = \frac{-3}{-30}$$ 8. **Simplify the fraction:** $$m = \frac{\cancel{-3}}{\cancel{-30}} = \frac{1}{10}$$ 9. **Answer for Line 2:** The slope $m$ of Line 2 is $\frac{1}{10}$. **Final answers:** - Slope of Line 1: $-10$ - Slope of Line 2: $\frac{1}{10}$