Explain how a Justice is appointed to the US Supreme Court

Article II, Section 2, Clause 2 of the United States Constitution, known as the Appointments Clause, empowers the president to nominate and, with the confirmation (advice and consent) of the United States Senate, to appoint public officials, including justices of the Supreme Court. This clause is one example of the system of checks and balances inherent in the Constitution. The president has the plenary power to nominate, while the Senate possesses the plenary power to reject or confirm the nominee. The Constitution sets no qualifications for service as a justice, thus a president may nominate anyone to serve, and the Senate may not set any qualifications or otherwise limit who the president can choose.[76]

The US President nominates a Supreme Court judge who subsequently has to be confirmed by the US Senate.