Final answer:
A vertical line passing through the point (6,3) will intersect the x-axis at the point (6,0), as all points on the x-axis have a y-coordinate of 0.
Step-by-step explanation:
If a vertical line is drawn through the point (6,3), we must determine at what point this line will intersect the x-axis. By definition, a vertical line has the same x-coordinate for all points lying on it. Therefore, regardless of the y-coordinate, the x-coordinate will remain 6. The x-axis, however, is where the y-coordinate is 0. Hence, a vertical line passing through (6,3) will intersect the x-axis at the point (6,0).