Point q is the opposite of point p determine the location of point q on the number line explain how you determined the location of point q on the number line

I think the data is insufficient to answer this question

If you have a number line with two points opposite from each other on a number line, the middle is always going to be 0.  Therefore both point are the same distance away from 0 just in opposite directions.  That means point q is always going to equal the negative of point p.  An example of this is if point p equals 5, point p equals -5.
Note that this method only works when it is specifically stated that the two points are opposite from each other.

I hope this helps.