Instead of "I'll come be right back", do you use "come right up"? What's the difference between the two?
M : Oh, Ms. Gibson. Come this way. Would you first put on this gown and wait over here for a moment? Kelly will be with you soon.
W : OK. Can I see any hair magazines? I want to look over some hairstyles.
M : Of course. Here you are.
W : Thanks.
M : Would you like something to drink?
W : Yes, please. I’d like some orange juice with ice, please.
M : Sure. I’ll come right up.
(not a teacher)I've only heard "coming right up" (sans personal pronouns) used in situations like this. It just means that you're filling that person's order right away. I wouldn't say "I'll come right up." in lieu of "I'll be (or come) right back." They don't mean the same thing.