What legislative body in Georgia is tasked with the responsibility of passing the budget?

The General Assembly is the correct answer because it serves as Georgia's legislative body, comprising both the House of Representatives and the Senate. In the budgetary process, the General Assembly is responsible for crafting and approving the state budget, which outlines the financial priorities and expenditures for the state.

Both chambers of the General Assembly must collaborate to finalize the budget; typically, the House introduces the budget, and the Senate reviews and can amend it. After both houses agree on the budget, it is sent to the Governor for approval. This process is essential as it determines how state funds are allocated for various programs, infrastructure, education, and public services, reflecting the legislative authority of the General Assembly in managing the state's finances.

The other choices, such as specific chambers or the judicial system, do not hold the power to create or pass the budget in the same comprehensive manner that the General Assembly does.