1. **State the problem:** We are given a table of values for $x$ and $y$ and need to find the rate of change represented by the data. 2. **Recall the formula for rate of change:** $$\text{Rate of Change} = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}$$ This formula calculates the slope between two points on a graph. 3. **Choose two points from the table:** Let's pick the first two points: $(-10, 6)$ and $(-4, 5)$. 4. **Calculate the change in $y$ and $x$:** $$\Delta y = 5 - 6 = -1$$ $$\Delta x = -4 - (-10) = -4 + 10 = 6$$ 5. **Calculate the rate of change:** $$\text{Rate of Change} = \frac{-1}{6}$$ 6. **Verify with other points:** Between $(-4, 5)$ and $(2, 4)$: $$\Delta y = 4 - 5 = -1$$ $$\Delta x = 2 - (-4) = 6$$ Rate of change is again $\frac{-1}{6}$. Between $(2, 4)$ and $(8, 3)$: $$\Delta y = 3 - 4 = -1$$ $$\Delta x = 8 - 2 = 6$$ Rate of change is $\frac{-1}{6}$. Between $(8, 3)$ and $(14, 2)$: $$\Delta y = 2 - 3 = -1$$ $$\Delta x = 14 - 8 = 6$$ Rate of change is $\frac{-1}{6}$. 7. **Conclusion:** The rate of change is constant and equals $\boxed{-\frac{1}{6}}$. This means for every increase of 6 units in $x$, $y$ decreases by 1 unit.