homophobia vs prejudice

homophobia and prejudice both are nouns.

Word	Noun	Adjective	Verb	Adverb
homophobia	Yes	No	No	No
prejudice	Yes	No	Yes	No

As nouns, prejudice is a hypernym of homophobia; that is, prejudice is a word with a broader meaning than homophobia:

homophobia: prejudice against (fear or dislike of) homosexual people and homosexuality
prejudice: a partiality that prevents objective consideration of an issue or situation

Other hypernyms of homophobia include bias, preconception.

homophobia (noun)	prejudice (noun)
prejudice against (fear or dislike of) homosexual people and homosexuality	a partiality that prevents objective consideration of an issue or situation

homophobia (verb)	prejudice (verb)
	influence (somebody's) opinion in advance
	disadvantage by prejudice