What does it mean when the line passes through the origin?
If the line cuts directly through the origin, this means that at one point, one of these coordinates is equal to zero. In the figure above, notice how the coordinates of the third line will not be equal to zero.
Which of the lines passes through origin?
Any line passing through origin is of the form y mx or ax + by 0. Here in the given option, 2x y 0 is in the form ax + by 0.