1. **State the problem:** We need to graph the inequality $$y \leq 3x - 6$$ on the coordinate axes. 2. **Understand the inequality:** The inequality $$y \leq 3x - 6$$ means that the region on or below the line $$y = 3x - 6$$ is shaded. 3. **Identify the line:** The line has slope $$m = 3$$ and y-intercept $$b = -6$$. 4. **Plot the line:** The line passes through the point $$(0, -6)$$ on the y-axis. 5. **Draw the line:** Since the inequality includes $$\leq$$, the line is solid (not dashed). 6. **Shade the region:** Shade the area below the line because $$y$$ is less than or equal to $$3x - 6$$. 7. **Summary:** The graph is a solid line with slope 3 and y-intercept -6, with shading below the line. This completes the graphing of the inequality.