The rule: figure out the most simple thing that could cause the problem, and go to it first.
Cars need three things to start and run: air, fuel and spark.
If it's cranking, you have electricity to the starter and all the comments about corroded battery and starter cables are irrelevant. Air should not be a problem. The problem is either fuel delivery or spark.
I'd check a shop manual first to make sure I'm not hurting the ECU, then I'd pull a spark plug wire at the distributor cap (NOT the plug) and hold it about 1/2" from the cap while someone cranks it. If you see a spark jump, then you're getting spark to the plugs. That leaves fuel. If no spark, then it's something in the ignition circuit.
If you have spark, then it's likely fuel: is the gas tank empty? If there's gas in the tank, change the fuel filter and try again. Might be blocked.
If it's spark, then unless you're a good mechanic, have it towed to a shop with diagnostic tools. It's probably a sensor or some unit in the controls. Something like this happened to my '93 Audi and it was a cam angle sensor under the valve cover - there was no way to find and correct it without diagnostic tools.
My guess is that you'll end up having it towed to a shop if it's not an empty gas tank or plugged fuel filter.