1. **State the problem:** We need to identify the graph that matches the equation $$y = -2x - 2$$. 2. **Recall the slope-intercept form:** The equation of a line in slope-intercept form is $$y = mx + b$$ where: - $$m$$ is the slope (rate of change) - $$b$$ is the y-intercept (where the line crosses the y-axis) 3. **Identify slope and y-intercept:** From $$y = -2x - 2$$, the slope $$m = -2$$ and the y-intercept $$b = -2$$. 4. **Interpret the slope and intercept:** - The slope $$-2$$ means the line goes down 2 units for every 1 unit it moves to the right. - The y-intercept $$-2$$ means the line crosses the y-axis at the point $$(0, -2)$$. 5. **Match to the graph:** - The correct graph must have a line crossing the y-axis at $$(0, -2)$$. - The line must slope downward from left to right. 6. **Conclusion:** Graph C matches these conditions: it crosses the y-axis at $$(0, -2)$$ and slopes downward. **Final answer:** Graph C is the correct graph for the equation $$y = -2x - 2$$.