What constitutional amendments would support a person's right to drop out of school?

The only one I can think of that would remotely support this is the 14th Amendment. The 14th Amendment encompasses "fundamental rights" like the right for parents to rear their children as they choose. And I guess that would include parents having the right to choose to raise uneducated children. However, I think it wouldn't pass the test because there is a compelling government interest to educate our youth and the parents rights would be superseded, unless the parents are home-schooling them or have some other valid basis to pull them out of school. Some states allow parents to pull their kids out of school to work on the family farm during harvest season for example. But they still have to make up their lost work if they want to advance to the next grade in school.