What is the equation of the line that passes through the point (5,3) and has an undefined slope?

A line with an undefined slope is a vertical line. Vertical lines run straight up and down, and all the points on a vertical line have the same x-coordinate.

If the line passes through the point (5,3), then the x-coordinate of every point on the line will also be 5, since that is the x-coordinate of the given point, and the line is vertical.

Therefore, the equation of the line that passes through the point (5,3) with an undefined slope is:

x = 5

This equation represents a vertical line that crosses the x-axis at x = 5 and extends infinitely in the vertical direction.