drag down vs weigh down

drag down and weigh down both are verbs.

Word	Noun	Adjective	Verb	Adverb
drag down	No	No	Yes	No
weigh down	No	No	Yes	No

As verbs, drag down and weigh down are synonyms defined as:

Other synonyms of drag down include bear down, bear down on, press down on.

drag down (verb)	weigh down (verb)
exert a force with a heavy weight	exert a force with a heavy weight
	be oppressive or disheartening to