Hi, Tracy. I don't think that you have to jack up your house. As a matter of fact, you don't even have to replace the joist. But this is another one of those problems that could be helped considerably if we could actually see it. The big question is how much dryrot is in the end of the joist.
Assuming that the rot just goes back a couple of inches on the end, put in a lally column a few feet back from the end of the joist and screw it up to where you just take the weight off the end of the joist. Also, position it so you have one face of the joist clear for working. Don't try to lift up the joist, take the weight off the bad end. Cut a new joist end, probably 2x8, as long as you can reach back before encountering anything like sway braces or plumbing. Hopefully, this will be 6-8 feet. Sister the new joist end on to the old joist by nailing it to the old one. Put nails in every 6" in a "W" pattern.
When the new end is nailed on, you can remove the lally column and go on to the next part of the problem which is to find out how and where water was getting into the joist end. It is really necessary to determine that and stop it from happening again in the future.