How would you graph the absolute value of y equals the absolute value of x?

Keep in mind that this consists of all points where y=x, ignoring the sign. The graph is a pair of lines forming a gigantic 'X', which are y=x and y=-x.

The intersection of the big 'X' is at the origin, and all 4 half-lines

take off at 45-degree angles and split each quadrant in half.