1. **Problem:** Find the slope between the points (-2, -3) and (6, 5). 2. **Formula:** 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. **Step 1:** Substitute the points into the formula: $$m = \frac{5 - (-3)}{6 - (-2)}$$ 4. **Step 2:** Simplify the numerator and denominator: $$m = \frac{5 + 3}{6 + 2} = \frac{8}{8}$$ 5. **Step 3:** Simplify the fraction: $$m = \frac{\cancel{8}}{\cancel{8}} = 1$$ 6. **Answer:** The slope between (-2, -3) and (6, 5) is $1$. --- 7. **Problem:** Find the slope between the points (0, 1) and (5, 8). 8. **Step 1:** Substitute into the slope formula: $$m = \frac{8 - 1}{5 - 0} = \frac{7}{5}$$ 9. **Answer:** The slope is $\frac{7}{5}$. --- 10. **Problem:** Find the slope between (-9, -3) and (-1, -1). 11. **Step 1:** Substitute: $$m = \frac{-1 - (-3)}{-1 - (-9)} = \frac{-1 + 3}{-1 + 9} = \frac{2}{8}$$ 12. **Step 2:** Simplify: $$m = \frac{\cancel{2}}{\cancel{8}} = \frac{1}{4}$$ 13. **Answer:** The slope is $\frac{1}{4}$. --- 14. **Problem:** Find the slope between (5, 9) and (-2, 3). 15. **Step 1:** Substitute: $$m = \frac{3 - 9}{-2 - 5} = \frac{-6}{-7}$$ 16. **Step 2:** Simplify the negatives: $$m = \frac{-6}{-7} = \frac{6}{7}$$ 17. **Answer:** The slope is $\frac{6}{7}$. --- 18. **Summary:** The slopes are: - Between (-2, -3) and (6, 5): $1$ - Between (0, 1) and (5, 8): $\frac{7}{5}$ - Between (-9, -3) and (-1, -1): $\frac{1}{4}$ - Between (5, 9) and (-2, 3): $\frac{6}{7}$