This is not a function so you will not be able to enter it directly into the y= screen of the TI-83. You will have to break it into two different functions.
|y|=x ==> x=-y for y<0 and x=y for y>0. Note that the domain is `x>=0` since the left side is nonnegative.
So graph y=x for `x>=0` and y=-x for `x>=0` .
(To get the domain restriction, in the y= screen type:
To get the expression in parantheses, first open a paranthesis then x then hit 2nd math (test) and select #4.
Your graph should look like this: