1. The problem asks to select the point with coordinates $x=4$ and $y=2$ on the coordinate plane. 2. Points are identified by their $(x,y)$ coordinates, where $x$ is the horizontal position and $y$ is the vertical position. 3. We look for the point where the horizontal value is 4 and the vertical value is 2. 4. From the description, point B is near $(4,2)$, which matches the required coordinates. 5. Therefore, the correct point is B.