1. **State the problem:** Find the slope of the line segment between two points. 2. **Formula for slope:** The slope $m$ between points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $$m=\frac{y_2 - y_1}{x_2 - x_1}$$ This formula calculates the "rise" over the "run" or the change in $y$ divided by the change in $x$. 3. **Calculate slope for segment AB:** Points: $A(1,1)$ and $B(5,4)$ $$m=\frac{4 - 1}{5 - 1} = \frac{3}{4}$$ 4. **Calculate slope for segment CD:** Points: $C(2,8)$ and $D(7,5)$ $$m=\frac{5 - 8}{7 - 2} = \frac{-3}{5}$$ 5. **Final answers:** - Slope of AB is $\frac{3}{4}$ - Slope of CD is $-\frac{3}{5}$