Question

What does it mean when it says to find the locus of points that are equidistant from the x-axis and y-axis?

Answer 1

Locus is Latin and in geometry implies you are looking for the "place" or "path" (our word location from from locus)

so you want the graph of all the points which are the same distance from both the x and the y axes.
Wouldn't point like that be (1,1), (2,2) , (6.12 , 6.12) ..... ?

or the equation: y = x

Answer 2

I'm sorry Reiny but could you rearrange your explanation? Because I'm not sure I understand

Answer 3

the points equidistant from the axes lie on the angle bisector between the axes.

y=x or y = -x