1. **State the problem:** We need to identify the graph of the function rule $$y = 3 - 2x$$ from the given options. 2. **Recall the formula and key features:** The function 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:** For $$y = 3 - 2x$$, rewrite as $$y = -2x + 3$$. - Slope $$m = -2$$ means the line goes down 2 units for every 1 unit it moves right. - Y-intercept $$b = 3$$ means the line crosses the y-axis at (0, 3). 4. **Check the graphs:** - The first graph passes through (0, 3) and (2, -1). Calculate slope between these points: $$m = \frac{-1 - 3}{2 - 0} = \frac{-4}{2} = -2$$ which matches our slope. - The second graph has a positive slope, inconsistent with $$-2$$. - The third graph crosses y-axis at 1, not 3, so it is incorrect. 5. **Conclusion:** The first graph correctly represents $$y = 3 - 2x$$ because it has the correct y-intercept and slope. **Final answer:** The first graph is the correct graph of the function $$y = 3 - 2x$$.