1. **State the problem:** We are given two sets of points and asked to find the slope of the line passing through each set. 2. **Recall the slope 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. **Calculate the slope for the first set of points:** Using points $(-2,9)$ and $(2,-1)$: $$m = \frac{-1 - 9}{2 - (-2)} = \frac{-10}{4} = \frac{\cancel{-10}}{\cancel{4}} = -\frac{5}{2}$$ 4. **Calculate the slope for the second set of points:** Using points $(-3,-5)$ and $(0,1)$: $$m = \frac{1 - (-5)}{0 - (-3)} = \frac{6}{3} = \frac{\cancel{6}}{\cancel{3}} = 2$$ 5. **Interpretation:** The slope from the first table matches the path labeled $-\frac{5}{2}$, confirming the slope calculation. The slope from the second table is $2$, which is not among the given path labels but is the slope of the line through those points. **Final answers:** - Slope for first set: $-\frac{5}{2}$ - Slope for second set: $2$