1. The problem asks to plot the point $\left(-\frac{1}{2}, \frac{1}{2}\right)$ on the coordinate axes. 2. The coordinate $\left(x, y\right)$ means move $x$ units along the horizontal axis (x-axis) and $y$ units along the vertical axis (y-axis). 3. Here, $x = -\frac{1}{2}$ means move half a unit to the left of the origin (0,0). 4. $y = \frac{1}{2}$ means move half a unit up from the origin. 5. So the point $\left(-\frac{1}{2}, \frac{1}{2}\right)$ is located half a unit left and half a unit up from the origin. 6. This point is plotted near the middle left of the coordinate plane, as described. Final answer: The point $\left(-\frac{1}{2}, \frac{1}{2}\right)$ is correctly plotted at half a unit left and half a unit up from the origin on the coordinate axes.