slouch vs droop

slouch and droop both are nouns.

Word	Noun	Adjective	Verb	Adverb
slouch	Yes	No	Yes	No
droop	Yes	No	Yes	No

As verbs, droop is a hypernym of slouch; that is, droop is a word with a broader meaning than slouch:

slouch: assume a drooping posture or carriage
droop: droop, sink, or settle from or as if from pressure or loss of tautness

Other hypernyms of slouch include flag, sag, swag.

slouch (noun)	droop (noun)
a stooping carriage in standing and walking	a shape that sags
an incompetent person; usually used in negative constructions

slouch (verb)	droop (verb)
walk slovenly	become limp
assume a drooping posture or carriage	droop, sink, or settle from or as if from pressure or loss of tautness
	hang loosely or laxly