1. **State the problem:** We need to graph the linear function given by the equation $$y = -\frac{4}{3}x + 8$$. 2. **Formula and explanation:** This 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:** Here, the slope $$m = -\frac{4}{3}$$ and the y-intercept $$b = 8$$. 4. **Plot the y-intercept:** The graph crosses the y-axis at the point $$(0, 8)$$. 5. **Use the slope to find another point:** The slope $$-\frac{4}{3}$$ means for every 3 units you move to the right (positive x-direction), you move 4 units down (negative y-direction). 6. **Calculate second point:** Starting at $$(0,8)$$, move right 3 units to $$x=3$$ and down 4 units to $$y=8-4=4$$, so the point is $$(3,4)$$. 7. **Draw the line:** Connect the points $$(0,8)$$ and $$(3,4)$$ with a straight line extending in both directions. **Final answer:** The graph of $$y = -\frac{4}{3}x + 8$$ is a straight line with y-intercept at 8 and slope $$-\frac{4}{3}$$ passing through points $$(0,8)$$ and $$(3,4)$$.