1. The problem asks to find the slope of the line passing through the points given in the table: (0, 21), (-4, 16), (-8, 11), and (-32, -19). 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. We can use any two points from the table to find the slope. Let's use the first two points: $(0, 21)$ and $(-4, 16)$. 4. Substitute the values into the slope formula: $$m = \frac{16 - 21}{-4 - 0} = \frac{-5}{-4}$$ 5. Simplify the fraction: $$m = \frac{\cancel{-5}}{\cancel{-4}} = \frac{5}{4}$$ 6. To confirm the slope is consistent, check with another pair, for example $( -8, 11)$ and $(-4, 16)$: $$m = \frac{16 - 11}{-4 - (-8)} = \frac{5}{4}$$ 7. Since the slope is the same between different pairs, the slope of the line is $\boxed{\frac{5}{4}}$. This means for every 4 units increase in $x$, $y$ increases by 5 units.