Which of the following powers allows the Governor to reject specific parts of a bill?

The power that allows the Governor to reject specific parts of a bill is known as the Line Item Veto. This mechanism is particularly significant because it enables the Governor to selectively disapprove certain provisions while letting the remainder of the bill become law. The Line Item Veto is often used in the context of budgetary legislation where a Governor may wish to reject specific expenditures without needing to dismiss the entire budget proposal.

This power serves as a check on legislative appropriations and enables more precise control over state spending. It is important to note that not all states provide this authority to their governors, making it a key feature in those that do.

The other options do not pertain specifically to the power of rejecting parts of legislation. Executive Budget Submission refers to the Governor's responsibility to present a budget proposal to the legislature, the Constitutional Veto is a broader power that allows the Governor to veto legislation entirely based on constitutional grounds, and the Override Power refers to the legislature's ability to pass a bill despite the Governor's veto, rather than a specific rejection mechanism within a bill itself. Thus, the Line Item Veto is the accurate choice for this question.