Graph Line 662Bc1

1. **State the problem:** We need to graph the linear function $$y=\frac{2}{3}x-4$$. 2. **Formula and rules:** 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, $$m=\frac{2}{3}$$ and $$b=-4$$. 4. **Plot the y-intercept:** The point where the line crosses the y-axis is at $$(0,-4)$$. 5. **Use the slope to find another point:** Slope $$\frac{2}{3}$$ means rise 2 units up and run 3 units right. 6. **Calculate second point:** Starting at $$(0,-4)$$, move right 3 units to $$x=3$$ and up 2 units to $$y=-2$$, so second point is $$(3,-2)$$. 7. **Draw the line:** Connect points $$(0,-4)$$ and $$(3,-2)$$ with a straight line extending in both directions. 8. **Label axes:** The graph has $$x$$ and $$y$$ axes with points marked. **Final answer:** The graph of $$y=\frac{2}{3}x-4$$ passes through $$(0,-4)$$ and $$(3,-2)$$ with slope $$\frac{2}{3}$$.