Hey
First of all your / partition is where /bin and /sbin are stored and without these your system will be completely useless in an emergency... Plus, i'm not sure but i think, that you can't setup a system up properly without a / partition...
Unfortunately I don't know how to use anything like
parted which is used for repartitioning...
As for finding out ya IP, as you type
/sbin/ifconfig at a terminal or as root type
ifconfig
Hope i've helped a bit