Please respond to the questions regarding this hypothetical case:

An eastern state enacted a law prohibiting liquor retailers from advertising in the media.The state reasoned that advertising liquor encouraged drinking which was against public policy.A local liquor store sued the state seeking declaratory relief.The store argued that the law denied their right to due process.The store won at trial.The court found no evidence that the law had a significant effect on liquor consumption.The state appealed and the decision was reversed in their favor.The liquor store then appealed to the U.S. Supreme Court.

What constitutional provision (amendment) might the state use to justify its law?That is, where in the U.S. Constitution will the state find authority to pass its law?(Where did Virginia think it had found authority to pass its law criminalizing interracial marriage?)