1. **State the problem:** Solve the system of equations graphically: $$2x = 8y$$. 2. **Rewrite the equation in slope-intercept form:** To graph the equation, express it as $$y = mx + b$$. Starting with $$2x = 8y$$, Divide both sides by 8: $$\frac{2x}{\cancel{8}} = \frac{8y}{\cancel{8}} \Rightarrow \frac{2}{8}x = y$$ Simplify the fraction: $$y = \frac{1}{4}x$$ 3. **Interpret the equation:** This is a straight line passing through the origin with slope $$\frac{1}{4}$$. 4. **Graph the line:** Plot points such as (0,0), (4,1), (8,2) to draw the line. 5. **Solution:** Since there is only one equation, the solution set is all points on the line $$y = \frac{1}{4}x$$. This means any pair $$(x, y)$$ satisfying $$y = \frac{1}{4}x$$ is a solution.