1. We are given a set of points $(x, y)$: $(4, 24)$, $(5, 19)$, $(6, 14)$, and $(7, 9)$. We need to find the slope of the line passing through these points. 2. The formula for the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. Choose two points to calculate the slope, for example $(4, 24)$ and $(5, 19)$: $$m = \frac{19 - 24}{5 - 4} = \frac{-5}{1}$$ 4. Simplify the fraction: $$m = -5$$ 5. To confirm the slope is consistent, check another pair, for example $(5, 19)$ and $(6, 14)$: $$m = \frac{14 - 19}{6 - 5} = \frac{-5}{1} = -5$$ 6. The slope is the same for all pairs, so the slope of the line is $-5$. Final answer: $-5$