1. **State the problem:** We are given the linear equation $$y = \frac{2}{3}x - 4$$ and the y-intercept is $$-4$$. We need to find the x-intercept. 2. **Recall the definition of intercepts:** - The y-intercept is the point where the graph crosses the y-axis, which happens when $$x=0$$. - The x-intercept is the point where the graph crosses the x-axis, which happens when $$y=0$$. 3. **Use the formula for the x-intercept:** Set $$y=0$$ in the equation and solve for $$x$$. 4. **Substitute and solve:** $$0 = \frac{2}{3}x - 4$$ Add 4 to both sides: $$4 = \frac{2}{3}x$$ 5. **Isolate $$x$$:** Multiply both sides by the reciprocal of $$\frac{2}{3}$$, which is $$\frac{3}{2}$$: $$x = 4 \times \frac{3}{2}$$ 6. **Calculate:** $$x = \frac{4 \times 3}{2} = \frac{12}{2} = 6$$ 7. **Answer:** The x-intercept is $$6$$, so the point is $$(6, 0)$$. This means the graph crosses the x-axis at $$x=6$$.