I consider myself an owner and my him as pet, basically because it's the best label that I can come up with. I think, in my mind, owner to pet indicates a relationship where the master/owner/domme cares for, takes prides in, and maybe even coddles the pet. The owner takes responsibility as an owner would. I can't say how master/slave relationshps are defined, it is completely up to the two people in the relationship. However, to me, I think a slave is a more concrete 24/7 role, and also I think there might be a bit more of a power dynamic (as opposed to owner-pet).

I have "pulled rank" on my him a few times, by ordering him to do things he resisted but I wanted, outside of playtime. If I did that more frequently, I think it might not work. Again, just a guess, but I think a slave would be more comfortable accepting orders from the master. Of course, if you asked me this again in a few years, I might have a different answer, especially if I am still involved with my him after all that time.