In reply to jkarran:
> I suspect your rope will be good for longer than you remain interested in your slackline.jk
I would probably say the opposite actually. The soil is rarely PH neutral, and after a quick google it seems the soil around Durham where the OP's profile says he's based is actually quite acid, with a PH as low as 4.8. I would expect a nylon rope buried in soil constantly damp with acidic water to deteriorate pretty quick.
If going for it anyway, i'd suggest sleeving the rope in a garden hose for all the buried section, and somehow stopping water from going into the hose and stagnating in there by maybe having the whole thing covered when not in use. That way it should last for a long time. Tensioning a slackline off a 'static' rope is a different story, and it's really not recommended as you'd be overloading the rope in order to get any decent tension.