In the coordinate plane, what is the total number of points 6 units from the origin and equidistant from both x and y axis? I need to answer it and include a diagram on graph paper but I'm so confused.

Could you draw the locus that is equidistant from the x and y axes? - It's a diagonal line equation y=x

How many points lie on this locus that are 6 units away from the origin?

Hope this helps you towards the answer.. :)

There are four such points, with coordinates ((+-)sqrt6,(+-)sqrt6)