Subjects algebra

Linear Function F44E38

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Linear Function F44E38


1. The problem is to understand and analyze the function $y = x - 2$. 2. This is a linear function where $y$ depends on $x$ by subtracting 2 from $x$. 3. The general form of a linear function is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 4. Here, $m = 1$ and $b = -2$, so the slope is 1 and the line crosses the y-axis at $y = -2$. 5. To find the x-intercept, set $y = 0$ and solve for $x$: $$0 = x - 2$$ $$x = 2$$ 6. The y-intercept is the point where $x = 0$: $$y = 0 - 2 = -2$$ 7. So the intercepts are at $(2, 0)$ and $(0, -2)$. 8. The vector column matrix with elements 3, 2, and 1 mentioned is unrelated to the function $y = x - 2$ and does not affect the graph. Final answer: The function $y = x - 2$ is a straight line with slope 1, y-intercept at $(0, -2)$, and x-intercept at $(2, 0)$.