1. The problem asks us to complete the table for the equation $y = 3x$. 2. The formula given is $y = 3x$, which means for each value of $x$, multiply it by 3 to find $y$. 3. Let's calculate $y$ for each $x$ in the table: - For $x = -2$, $y = 3 \times (-2) = -6$ - For $x = -1$, $y = 3 \times (-1) = -3$ - For $x = 0$, $y = 3 \times 0 = 0$ - For $x = 1$, $y = 3 \times 1 = 3$ - For $x = 2$, $y = 3 \times 2 = 6$ - For $x = 3$, $y = 3 \times 3 = 9$ 4. The completed table is: | $x$ | -2 | -1 | 0 | 1 | 2 | 3 | |-----|----|----|---|---|---|---| | $y$ | -6 | -3 | 0 | 3 | 6 | 9 | 5. This linear function produces a straight line when graphed, with a slope of 3, meaning $y$ increases by 3 units for every 1 unit increase in $x$. Final answer: The table is correctly completed as shown above.