To know for sure if *your* specific 2000 Silverado has a wired reverse light circuit for towing, you need to:
* Check your owner's manual: This should list the towing package options included with your truck.
* Inspect the wiring harness: Locate the 7-pin or 4-pin connector typically found near the rear bumper or hitch. Trace the wires to see if one is specifically marked for reverse lights or is connected to the reverse light circuit.
* Use a test light: With the truck in reverse, probe the wires in the connector to see if there's voltage present on a wire that should correspond to the reverse lights.
Without inspecting the truck itself, it's impossible to say definitively.