Graph Line 2837A4

1. **State the problem:** We need to graph the linear equation $$y = -x - 6$$. 2. **Formula and rules:** This is a linear equation in slope-intercept form $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Identify slope and intercept:** Here, $$m = -1$$ and $$b = -6$$. 4. **Plot the y-intercept:** The point where the line crosses the y-axis is at $$(0, -6)$$. 5. **Use the slope to find another point:** The slope $$-1$$ means for every increase of 1 in $$x$$, $$y$$ decreases by 1. 6. **Calculate a second point:** Starting at $$(0, -6)$$, if $$x=1$$, then $$y = -1 - 6 = -7$$, so point $$(1, -7)$$. 7. **Draw the line:** Connect points $$(0, -6)$$ and $$(1, -7)$$ with a straight line extending in both directions. **Final answer:** The graph is a straight line with slope $$-1$$ crossing the y-axis at $-6$.