1. The problem asks to identify the point with coordinates $\left(4 \frac{1}{2}, 0\right)$. 2. Coordinates are given as $(x, y)$ where $x$ is the horizontal position and $y$ is the vertical position on the coordinate plane. 3. The coordinate $4 \frac{1}{2}$ can be written as the mixed number $4 \frac{1}{2} = 4 + \frac{1}{2} = \frac{9}{2} = 4.5$. 4. So the point we are looking for is at $x = 4.5$ and $y = 0$. 5. From the given points: - Point E is at $(0, 5)$ - Point F is at $(5, 0)$ - Point G is at $(-5, 0)$ - Point H is at $(4, 1)$ 6. None of these points exactly match $(4.5, 0)$. 7. The closest point on the x-axis near $4.5$ is Point F at $(5, 0)$, but it is not exactly $4.5$. 8. Therefore, there is no point labeled exactly at $(4 \frac{1}{2}, 0)$ among the given points. Final answer: No point among E, F, G, or H has coordinates $(4 \frac{1}{2}, 0)$.