Final answer:
The case Gregg v. Georgia involved capital punishment and the Equal Protection Clause of the 14th Amendment, reaffirming the constitutionality of the death penalty under newly revised guidelines.
Step-by-step explanation:
The Georgia case that involved capital punishment and the Equal Protection Clause of the 14th Amendment is Gregg v. Georgia. In this landmark decision, the Supreme Court ruled in 1976 that Georgia's revised death penalty statute was constitutional as it provided sufficient guidelines to narrow the class of defendants eligible for the death penalty, thus ending the nationwide de facto moratorium on executions that started with Furman v. Georgia in 1972. The Gregg v. Georgia case is significant because it re-established the use of capital punishment in the United States under new statutes that aimed to prevent arbitrary and discriminatory sentencing.