Another Geometry question (easy one this time.) Can you help me?

Dealing with graphing, the X,Y axis, which creates a quadrant. In one lesson I saw today, they labeled the quadrants clockwise, from top right (I) to bottom right (II) to bottom left (III) to top left (IV). Now, are those quadrant labels ALWAYS labeled in that direction, starting with the top right, or can that change with the whims of whomever built the thing?

I ask because a student was having a hard time graphing something like (5, -3). I pointed out the way they labeled the quadrants in the previous lesson, it seemed it would put it in IV, but the answer was in Q3….