慢走 literally means 'walk slowly,' but it's a standard polite farewell from a host to a departing guest. It expresses care — 'don't rush, be safe.' You'll hear it constantly in restaurants, shops, and homes.
mistakes
Don't say 慢走 to someone who is staying — it's only for departing guests. Also, the guest doesn't say 慢走 back; they might reply with 好的 or 再见.