hate vs emotion

hate and emotion both are nouns.

Word	Noun	Adjective	Verb	Adverb
hate	Yes	No	Yes	No
emotion	Yes	No	No	No

As nouns, emotion is a hypernym of hate; that is, emotion is a word with a broader meaning than hate:

hate: the emotion of intense dislike; a feeling of dislike so strong that it demands action
emotion: any strong feeling

hate (noun)	emotion (noun)
the emotion of intense dislike; a feeling of dislike so strong that it demands action	any strong feeling

hate (verb)	emotion (verb)
to have and express negative sentiments about a person
dislike intensely; feel antipathy or aversion towards