How are Georgia state legislators elected?

In Georgia, state legislators are directly elected by their respective districts, making this the correct choice. This process ensures that the representatives are accountable to the voters in their specific geographic areas, allowing constituents to have a direct say in who represents them in the state legislature.

Direct elections empower citizens, as they participate in free and fair elections to choose their representatives, thereby fostering a democratic system that reflects the will of the people. Each district elects its representative, which reinforces the principles of representative democracy by ensuring that legislative decisions reflect the interests and needs of local populations.

The other methods mentioned in the incorrect options do not apply to Georgia's system of electing state legislators. For instance, appointments by the governor, indirect elections through county representatives, or selection via statewide votes are not mechanisms used for legislative elections in Georgia. The direct electoral process is fundamental to maintaining the integrity and democratic nature of the legislative body in the state.