Which power allows the executive branch to check the actions of the legislative branch?

The power to veto legislation is a significant mechanism through which the executive branch can check the actions of the legislative branch. When Congress passes a bill, the President has the authority to approve or reject that bill. If the President vetoes it, the legislation does not become law unless Congress can override the veto with a two-thirds majority in both the House of Representatives and the Senate. This power creates a critical balance within the system of checks and balances, ensuring that the legislative branch does not have unchecked authority to create laws.

The other options, while relevant in their own contexts, do not serve as direct checks on legislative actions. Calling special sessions of Congress is a way for the executive to prompt legislative activity but does not directly counteract or nullify legislative decisions. Appointing judges influences the judicial branch's makeup and could check legislative actions indirectly, but it is not a direct measure of checking the legislature's power. Drafting legislation allows the executive branch to propose laws, but it ultimately depends on the legislative branch for approval and enactment. Thus, the power to veto stands out as the most direct method for the executive to influence and check legislative actions.