1. **State the problem:** We need to graph the inequality $$y \leq \frac{2}{3}x - 5$$. 2. **Formula and rules:** The inequality is in slope-intercept form $$y = mx + b$$ where $$m = \frac{2}{3}$$ is the slope and $$b = -5$$ is the y-intercept. 3. **Graphing steps:** - Plot the y-intercept at (0, -5). - Use the slope $$\frac{2}{3}$$ to find another point: from (0, -5), go up 2 units and right 3 units to (3, -3). - Since the inequality is $$\leq$$, draw a solid line through these points. - Shade the region below the line because $$y$$ is less than or equal to the expression. 4. **Summary:** The graph is a solid line with slope $$\frac{2}{3}$$ and y-intercept -5, shading below the line to represent $$y \leq \frac{2}{3}x - 5$$.