Subjects algebra

Line Equation 85A195

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1. The problem is to find the equation of a straight line that increases from bottom-left to top-right, crossing the y-axis at 1 and the x-axis at -1. 2. The general form of a line equation is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. Since the line crosses the y-axis at 1, we know $b = 1$. 4. The line crosses the x-axis at -1, so at $x = -1$, $y = 0$. Substitute these values into the equation: $$0 = m(-1) + 1$$ 5. Solve for $m$: $$0 = -m + 1$$ $$m = 1$$ 6. Therefore, the equation of the line is: $$y = 1x + 1$$ 7. This matches the given equation $y = x + 1$. Final answer: $$y = x + 1$$