Graph Negative Slope 0Aac38

1. The problem is to identify the graph of the linear equation $$y = -2x + 2$$. 2. This equation is in slope-intercept form $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. 3. Here, the slope $$m = -2$$ and the y-intercept $$b = 2$$. 4. The slope $$-2$$ means the line falls (goes down) as $$x$$ increases. 5. The y-intercept $$2$$ means the line crosses the y-axis at the point $$(0, 2)$$. 6. Therefore, the correct graph is the one with a negative slope crossing the y-axis at 2 and falling to the right. 7. Among the options, the bottom-left graph matches this description: line with negative slope, crossing the y-axis at 2 and falling to the right. Final answer: bottom-left graph.