He/she can sign it into law or veto it.
Near the end of a session of Congress, the President may refuse to sign a bill, and it cannot be returned to the Congress. This is called a "pocket veto."
he can sign it and make it a law or he can veto it(reject)
Override a veto
If both houses of congress pass it, it goes to the president. If and when he signs it, it becomes law.
the president sings it.
The president will veto it
If both houses of congress vote by 2/3 to override a presidential veto, it automatically becomes law despite the President's veto.
The U.S. Congress passes bills that become Federal Laws when the U.S. President signs them (although there are cases in which Congress can make a bill into a law without the President's approval), and each state Congress passes bills that become state laws when the Governor of the state signs them.
10 days
Congress must set its own pay.
checks and balances
Since the Constitution places the power and responsibility for passage of legislation with the Congress, passing a law is more an example of the basic function of the legislative branch than an example of checks and balances. However, it could become an example of checks and balances if Congress passes a law, the President vetoes it, and Congress then overrides the President's veto as provided in the Constitution.
"general assembly" is a term usually applied to a state legislature. The Governor of most states, if not all, has veto power.