To clarify,
Is the student your dependent?
A dependent student is a resident of the state inn which the Taxpayer that claims the student lives.
If they make money in another state at that time, they would file a non-resident or Part-Year resident state return for the state in which they earned income (depending on the resident rules of that state).
Once they move to another state (Tennessee) and if they had no plans to return, they would be a part-year resident of that new state.
If the person is now a former student, whether you claim this person as your dependent would depend on this person's age, how many months they attended school that tax year and if they supplied more than half of their yearly support.
When someone becomes a resident of a different (new) state, they should update their documents, such as Driver's License and Voters Registration, but NOT updating does not mean they are not a resident.
If you still are not sure, please continue and provide more information.
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