The President can sign and pass any bill they wish, but the Vice President is only to be there for assistance and taking part in disagreeing or agreeing with the bills for their upcoming term of presidency if the current President can no longer serve their term. Every other "helper" in the executive branch have some part in assisting the carry-out of the bill passed.
Answer: i would say it keeps the president in check by knowing that there a party of the house who want you out of your presidency so it will keep you check make sure you don't say the wrong things or make a law that does no support the U.S