Questions about example sentences with, and the definition and usage of "Slipping"

A: It means to leave from somewhere without being noticed. Say a party is really dull, but if you tell the host that you are leaving, he might make a scene. So you quietly slip out the door. You leave without anyone seeing you leave.

A: "Slipping away" here means weakening the bond between them, being less attracted or involved with each other.
"We used to be very much in love, but I can feel her slipping away. I don't know what happened to change our relationship."
"The politician once had the support of all of the voters, but they have been slipping away from him since the economy has weakened."
"This was once the most popular show on TV, but the audience has been slipping away for the last few months."