Definition of INTESTATE
(adjective): a person who dies without leaving a valid will; where it is used with respect to particular property, a person who dies without effectively disposing of that property by will; when used as an adjective, to property not effectively disposed of by will (SCPA § 103 [28])
Plain English Translation: a person who dies without leaving a valid last will; or property that is not controlled by a last will.
Example: Bob recently passed away. His family discovered that he never made a will. Bob died intestate.