Fuel Line problem in a 77 Monte Carlo

My car had been stalling and losing power for a few months and, thinking it was a bad fuel pump, I went ahead and replaced it. The new fuel pump didn't help at all and now the car won't even start. I'm pretty certain that the fuel line is clogged, but I'm not sure how I'd go about cleaning it out. Would I need a special attachment for an air compressor, or could I blow the line clear with a hand pump or something along those lines?

Welcome to AF!
They make a rubber nipple to go on the end of an air blow gun that attaches to your compressor line. I've used that setup in the past to check for a clogged line, or for an obstruction. I've never done a fuel line though. I would have to say though to be safe and not cause damage to disconnect the fuel line from the pump, and the top of the fuel tank. You don't want to blow something into the fuel tank and damage the pickup. You also might want to check the pickup inside the fuel tank. It has a screen on the end and sometimes over the years crud including rust particles can end up blocking the pickup, preventing a good fuel flow to the pump. It's been 30 years and I'm sure over the years debris has found a way into the tank if it's never been apart.

More than likely one of the rubber hose connections on the fuel line is rotted and is either sucking air or has collapsed. Follow it back from the fuel pump to the tank, they tend to rot out high up, so get a flashlight and take your time with it.

Bob