The simplest way is to download from sourceforge the gparted live cd - google for "gparted live cd". You burn this CD, boot it on a computer where your USB flash drive is plugged in, and use this utility to resize the partitions as you desire.
i would really like to know how to utilize this space in the first primary partition.
If the wireless adapter plugs into the USB port, then it only works on PS2-Linux 2.6, which still needs a few drivers to work like PS2-Linux based on kernel version 2.4. The USB port is very slow compared to the ethernet port. If the gaming adapter plugs into the ethernet port and then transmits wirelessly to your router, then it is functioning as a bridge. Bridging is known to work, but without knowing the make of the gaming adapter, I don't know if it has this function.
also, can a wireless gaming adapter be used in linux?
At the moment, I'm too busy with my other commitments to spin off an updated version of Mega Man's excellent LiveDVD version 2, although I'm sure there are a few programs most people would like. Sorry. While I was tremendously disappointed with Firefox performance on PS2-Linux, I realize others might disagree. Since you have a Slim, your swap storage would be over the network (or maybe worse, usb). I was disappointed with performance with a FAT PS2 and a hard drive for swap, so without a hard drive it would be significantly slower for most web browsing. Maybe others on the forums had a better experience, but it was so bad for me (multiple versions, multiple attempts) that I decided not to include it on my distribution.
And i know Mozilla is pretty slow, but could you install Mozilla, vnc and the other programs of linux live dvd v2 to the image thanks.
PS2 v9 NTSC, PS2 v12 NTSC, PS2 v15 VESA