Question: Which of the following is a graph of $y = -2x + 2$? top-left: line with positive slope, crossing y-axis at $-2$ and x-axis at $1$. top-right: line with positive slope, crossing y-axis at $2$ and x-axis at $-1$. bottom-left: line with negative slope, crossing y-axis at $-2$ and x-axis at $-1$. bottom-right: line with negative slope, crossing y-axis at $2$ and x-axis at $1$.

1. **State the problem:** We need to identify which graph corresponds to the equation $$y = -2x + 2$$. 2. **Recall the slope-intercept form:** The equation $$y = mx + b$$ has slope $$m$$ and y-intercept $$b$$. 3. **Identify slope and y-intercept:** For $$y = -2x + 2$$, slope $$m = -2$$ (negative slope), y-intercept $$b = 2$$. 4. **Check each graph's y-intercept and slope:** - Top-left: y-intercept $$-2$$, slope positive (does not match). - Top-right: y-intercept $$2$$, slope positive (does not match). - Bottom-left: y-intercept $$-2$$, slope negative (does not match). - Bottom-right: y-intercept $$2$$, slope negative (matches). 5. **Verify x-intercept for bottom-right:** Set $$y=0$$: $$0 = -2x + 2$$ $$2x = 2$$ $$x = 1$$ This matches the bottom-right graph's x-intercept. **Final answer:** The graph in the bottom-right is the graph of $$y = -2x + 2$$.