1. **State the problem:** We are given the equation $y = x - 1$ and a table of values for $x$ and $y$. We need to find the slope of the equation and the slope from the table, then compare them. 2. **Find the slope of the equation:** The equation is in the form $y = mx + b$, where $m$ is the slope. Here, $y = x - 1$ means $m = 1$. So, the slope of the equation is $1$. 3. **Find the slope from the table:** The slope is the change in $y$ divided by the change in $x$, or $\frac{\Delta y}{\Delta x}$. Using points $(4, -16)$ and $(5, -20)$: $$\text{slope} = \frac{-20 - (-16)}{5 - 4} = \frac{-20 + 16}{1} = \frac{-4}{1} = -4$$ 4. **Check other points to confirm slope from table:** Between $(5, -20)$ and $(6, -24)$: $$\frac{-24 - (-20)}{6 - 5} = \frac{-24 + 20}{1} = \frac{-4}{1} = -4$$ Between $(6, -24)$ and $(9, -36)$: $$\frac{-36 - (-24)}{9 - 6} = \frac{-36 + 24}{3} = \frac{-12}{3} = -4$$ Between $(9, -36)$ and $(10, -40)$: $$\frac{-40 - (-36)}{10 - 9} = \frac{-40 + 36}{1} = \frac{-4}{1} = -4$$ All slopes from the table are $-4$. 5. **Compare slopes:** Slope of equation = $1$ Slope from table = $-4$ They are not the same. **Final answer:** Slope of equation = $1$ Slope of table = $-4$ No, the slopes are not the same.