Subjects algebra

Linear Curve 1C20D2

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1. The problem is to analyze the curve given by the equation $$y=\frac{x+1}{2}-1$$. 2. This is a linear function in the form $$y=mx+b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 3. Simplify the expression: $$y=\frac{x+1}{2}-1=\frac{x}{2}+\frac{1}{2}-1=\frac{x}{2}-\frac{1}{2}$$ 4. So the function can be rewritten as $$y=\frac{1}{2}x - \frac{1}{2}$$. 5. The slope $$m=\frac{1}{2}$$ means the line rises by 1 unit for every 2 units it moves to the right. 6. The y-intercept $$b=-\frac{1}{2}$$ means the line crosses the y-axis at $$y=-\frac{1}{2}$$. 7. To find the x-intercept, set $$y=0$$ and solve for $$x$$: $$0=\frac{1}{2}x - \frac{1}{2}$$ $$\frac{1}{2}x=\frac{1}{2}$$ $$x=1$$ 8. Therefore, the x-intercept is at $$x=1$$. Final answer: The line has slope $$\frac{1}{2}$$, y-intercept $$-\frac{1}{2}$$, and x-intercept at $$1$$.