Subjects algebra

Linear Function Points

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1. **State the problem:** We are given the linear function $y = 2x - 3$ and need to find the corresponding $y$ values for $x = -1, 0, 1$ to get three points on the line. 2. **Formula used:** The function is $y = 2x - 3$. For each $x$ value, substitute into the formula to find $y$. 3. **Calculate for $x = -1$:** $$y = 2(-1) - 3 = -2 - 3 = -5$$ Point: $(-1, -5)$ 4. **Calculate for $x = 0$:** $$y = 2(0) - 3 = 0 - 3 = -3$$ Point: $(0, -3)$ 5. **Calculate for $x = 1$:** $$y = 2(1) - 3 = 2 - 3 = -1$$ Point: $(1, -1)$ 6. **Summary:** The three points on the line are $(-1, -5)$, $(0, -3)$, and $(1, -1)$. These points satisfy the linear function and can be plotted to visualize the line.