Here are places all over the Internet where you can learn how to splice that line you have
Samson Rope Technologies' Splicing PDFs
New England Rope's Splicing Guide
Tachyon (dial-up warning- big pdf !!!)
The Mobius Brummel, by Precourt
Marlow Cordage's "How To Splice"
Machovec's Fid Length Chart (scroll to the bottom)
Lehigh Group's Instructions (an example of what NOT to do)