1. **State the problem:** We are given the function $y = x + 7$ and need to fill in the table of values for $x = 0, 1, 2, 3$. 2. **Formula used:** The function is linear, given by $y = x + 7$. For each $x$ value, substitute into the formula to find $y$. 3. **Calculate each $y$ value:** - For $x=0$: $$y = 0 + 7 = 7$$ - For $x=1$: $$y = 1 + 7 = 8$$ - For $x=2$: $$y = 2 + 7 = 9$$ - For $x=3$: $$y = 3 + 7 = 10$$ 4. **Fill the table:** | x | y | |---|---| | 0 | 7 | | 1 | 8 | | 2 | 9 | | 3 | 10 | 5. **Graph explanation:** The graph is a straight line with slope 1 and y-intercept 7. It crosses the y-axis at $(0,7)$ and increases by 1 unit in $y$ for every 1 unit increase in $x$. **Final answer:** The completed table is: | x | y | |---|---| | 0 | 7 | | 1 | 8 | | 2 | 9 | | 3 | 10 |