How do I move a slab of concrete?
I don't agree with any of the comments.  It is impractical to move it.  First unless you use big equipment the chances of it breaking are solid.  But lets look past moving it and say that is "easy".  Where are you moving it to?  The bottom is probably all over the place meaning that unless where you are moving it to has very similar ground characteristics then this thing will probably not sit the way you want it to.

Added Note:  When we are breaking up big slabs like this we often break up concrete.  Move the concrete out of the way.  Dig down another 10-12 inches (I know it is hard work but doesn't take long).  Then put concrete back or at least most of it with about 4-6 inches of dirt over it.  You will be left with some dirt left over and maybe a little concrete.  You will spend time digging but not time hauling concrete.  Also the extra dirt is usually easy to dispose somewhere in the yard.