back off vs back down

back off and back down both are verbs.

Word	Noun	Adjective	Verb	Adverb
back off	No	No	Yes	No
back down	No	No	Yes	No

As verbs, back off and back down are synonyms defined as:

Other synonyms of back off include back up.

As verbs, back off and back down are synonyms defined as:

Other synonyms of back off include bow out, chicken out, pull out.

back off (verb)	back down (verb)
move backwards from a certain position	move backwards from a certain position
remove oneself from an obligation	remove oneself from an obligation