1. **State the problem:** Find the slope of the line passing through the points (4,1) and (-3,2). 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 for points (4,1) and (-3,2):** $$m = \frac{2 - 1}{-3 - 4} = \frac{1}{-7} = -\frac{1}{7}$$ 4. **Interpretation:** The slope is negative, meaning the line decreases as we move from left to right. 1. **State the problem:** Find the slope of the line passing through the points (-2,-1) and (5,4). 2. **Use the same slope formula:** $$m = \frac{4 - (-1)}{5 - (-2)} = \frac{4 + 1}{5 + 2} = \frac{5}{7}$$ 3. **Interpretation:** The slope is positive, meaning the line increases as we move from left to right. **Final answers:** - Slope between (4,1) and (-3,2) is $-\frac{1}{7}$. - Slope between (-2,-1) and (5,4) is $\frac{5}{7}$.