Just about every person you ask will have different definitions of the two terms. Sadly, there is not a "Big Book of BDSM Terminology". Actually, that is probably for the best.
i identify as a slave or collared property, but there are some who would argue that i am not because i do have a job, my own bank account, etc.
(i feel as though the argument was settled when i got branded, but that is just me.)