1. **State the problem:** We are given the linear function $y = -10x + 2$ and need to fill in the table for the values of $x = -1, 0, 1, 5$. 2. **Formula:** The function is $y = -10x + 2$. For each $x$, substitute into the formula to find $y$. 3. **Calculate $y$ for each $x$:** - For $x = -1$: $$y = -10(-1) + 2 = 10 + 2 = 12$$ - For $x = 0$: $$y = -10(0) + 2 = 0 + 2 = 2$$ - For $x = 1$: $$y = -10(1) + 2 = -10 + 2 = -8$$ - For $x = 5$: $$y = -10(5) + 2 = -50 + 2 = -48$$ 4. **Final table:** | $x$ | $y$ | |-----|-----| | -1 | 12 | | 0 | 2 | | 1 | -8 | | 5 | -48 |