1. **Problem statement:** Find the distance from point $A(6,3)$ to the vertical line $x=2$. 2. **Formula and explanation:** The distance from a point $(x_0,y_0)$ to a vertical line $x=a$ is the absolute difference of their $x$-coordinates: $$d = |x_0 - a|$$ 3. **Calculation:** Here, $x_0=6$ and $a=2$, so $$d = |6 - 2| = 4$$ 4. **Interpretation:** The distance is simply how far horizontally point $A$ is from the line $x=2$. **Final answer:** The distance from point $A$ to the line $x=2$ is $4$ units.