Which of the following graphs represents the line that passes through (3/2 ,2/3)and has an undefined slope

Undefined slope means it is a vertical straight line

Any line that has a zero slope is a horizontal line.

Any line with an undefined slope is a vertical line.

So if the line has undefined slope and passes through (3/2, 2/3)

At that point x = 3/2 = 1.5, and y = 2/3.

The graph would be a line that is vertical, and as such it would an equation:

x = 3/2.      This is the vertical line.

x = 3/2