1. **State the problem:** Find the slope of the line given by the equation $$2x - 5y = 9$$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $$y = mx + b$$, where $$m$$ is the slope. 3. **Isolate $$y$$:** $$2x - 5y = 9$$ Subtract $$2x$$ from both sides: $$-5y = -2x + 9$$ 4. **Divide both sides by $$-5$$ to solve for $$y$$:** $$y = \frac{-2x + 9}{-5}$$ 5. **Simplify the fraction:** $$y = \frac{-2x}{-5} + \frac{9}{-5} = \frac{2}{5}x - \frac{9}{5}$$ 6. **Identify the slope:** The coefficient of $$x$$ is the slope $$m = \frac{2}{5}$$. **Final answer:** The slope of the line is $$\boxed{\frac{2}{5}}$$, which corresponds to option C.