Subjects algebra

Line Equation 4384D5

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Question: Write the equation of the line in fully simplified slope-intercept form. y = -x - 8
1. The problem asks to write the equation of the line in slope-intercept form, which is $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 2. The given equation is $$y = -x - 8$$. 3. Here, the slope $$m = -1$$ (since the coefficient of $$x$$ is $$-1$$) and the y-intercept $$b = -8$$. 4. The equation is already in slope-intercept form and fully simplified. 5. To verify, the line crosses the y-axis at $$(0, -8)$$ and the x-axis where $$y=0$$: $$0 = -x - 8$$ $$x = -8$$ 6. This matches the given points, confirming the equation is correct. Final answer: $$y = -x - 8$$