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: $$y = -x - 8$$