Final answer:
The role of the Senate with respect to the president's power to make treaties and appoint the officers of the executive branch is known as advice and consent.
Step-by-step explanation:
The role of the Senate with respect to the president's power to make treaties and to appoint the officers of the executive branch is referred to as advice and consent. According to the Constitution, the president has the power to negotiate treaties, but they require a two-thirds vote of the Senate to be ratified. Similarly, the president can nominate officials for government positions, but their appointment needs the advice and consent of the Senate.