If your starter in turning over and it sounds healthy then there are only two possabilities (usually). Fuel or electric. Since it is an American car, I would say its probaly not the fuel pump but you can check this. Turn on the ignition but dont start the car and listen for the fuel pump to charge the fuel system. Sounds like a click then buzz sound as it must charge the initial pressure in the fuel lines up to +40 psi around there for fuel injected cars. If your car is FI and you cant make out the sound of the fuel pump, this could be suspect. I hope your car is FI.
Else electrical issues...
Remove the distributor cap, and check for moisture, cracks, elect burnouts etc... damage. Same for coil area. Check cables from coil to distributor, to plugs.
Go get or borrow a multimeter. Pref an automotive one but it does not really matter.
multimeterUse that to check for electrical charge on the ignition systems cables (cable from coil to distributor, plugs etc...).
Beyond that you'll need the manual for that years model of your car. There are alot of potential things you may want to check listed in the repair manual. You would check for voltage and ohms. Dont be afraid to pull off the ignition system cables and plug the red multimeter cable to it. you should get volts when you start your car.
Sometimes it could just be a loose wire...
I once reconnected a loose sensor on the intake manifold fo a 944S and it started right up. Check your FI-puter sensor cables.
You can also try to get the puters error code. Good luck.