When you "slip" you fall down. But how does something slip from your mind?
Slip (One's) Mind
Let's listen to Anna and Jonathan:
Slip One's Mind 遗忘
Anna: Look at this beautiful cake I made for the dinner party!
Jonathan: Oh no, is that tonight?
Anna: Yes! Didn't you make something?
Jonathan: No, it totally slipped my mind!
If you say something "slipped your mind" you forgot about it. You can say this about an event, a task or a personal detail about someone--such as their name.
People often say words like "completely" or "totally" before this expression. It totally slipped my mind! That completely slipped my mind!