You have a couple of options. You can create a swap file similar to what windows uses or create an additional swap partition.

The swap file will be slower then a new partition but easier to configure.
To create a 20MB swap file:
dd if=/dev/zero of=/usr/local/newswap bs=1000000 count=20
chmod 600 /usr/local/newswap
mkswap /usr/loca/newswap
swapon /usr/local/newswap
Add to your /etc/fstab file
/usr/local/newswap swap swap defaults 0 0

You can change the file name and location as desired.

To create an additional swap partition you will need to resize an existing partition to create some free space and then create the swap partition. linux as a couple of apps to resize, parted or the GUI qtparted. Once the swap partition is created you can use the previous steps starting with the mkswap command but instead of the file name use the swap partition ID i.e.
mkswap /dev/hdax. (Where x is the partition ID number)

Okay,

You've given me re-assurance that I don't need to format! So, since I'm a newbie, is the second option how I would resize my SWAP partition? Also, on the first option do I just type in what you typed? THANKS ALOT!

James

Also, will QTParted work on Red Hat 8.0?

QTparted should work with RH but you can not modify partitions that are mounted. You can use the RH 1st install CD and boot to rescue mode but you will only be able to run the command line parted. I think that QTparted is included on knoppix which is a liveCD linux version.

You can resize swap but I my suggestion was to create a 2nd swap partition just to make things easier.