http://caselaw.lp.findlaw.com/data/constitution/amendment14/
14th amendment of coarse.
Section. 1. All persons born or naturalized in the United States and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside. No State shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.
Okay. If a person is born here you can't discriminate against them if born here (child) not the illegal parent.
Where do you read the "intent of slavery"? I sure as heck don't see it.