1. **State the problem:** We are given the function $y = -x + 4$ and a table with some values of $x$ and $-x$. We need to fill in the missing $y$ value for $x = -3$ and understand how to use these values to graph the function. 2. **Recall the function:** The function is $y = -x + 4$. This means for any value of $x$, $y$ is calculated by taking the negative of $x$ and then adding 4. 3. **Fill in the table:** For $x = -3$, calculate $-x$: $$-(-3) = 3$$ The table shows $-x = 1$ which seems incorrect; the correct value is 3. 4. **Calculate $y$ for $x = -3$ using the function:** $$y = -(-3) + 4 = 3 + 4 = 7$$ 5. **Corrected table values:** | $x$ | $-x$ | $y = -x + 4$ | |-----|------|--------------| | -3 | 3 | 7 | 6. **Graph description:** The function $y = -x + 4$ is a straight line with slope $-1$ and $y$-intercept at 4. This means the line crosses the $y$-axis at $(0,4)$ and goes down one unit in $y$ for every one unit increase in $x$. 7. **Summary:** Using the table values, plot points like $(-3,7)$, $(0,4)$, and others to draw the straight line representing $y = -x + 4$. **Final answer:** The missing $y$ value for $x = -3$ is $7$.