important vs authoritative

important and authoritative both are adjectives.

Word	Noun	Adjective	Verb	Adverb
important	No	Yes	No	No
authoritative	No	Yes	No	No

As adjectives, important and authoritative are synonyms defined as:

important and authoritative: having authority or ascendancy or influence

important (adjective)	authoritative (adjective)
of great significance or value	endowed with authority
of extreme importance; vital to the resolution of a crisis	having authority or ascendancy or influence
important in effect or meaning	of recognized authority or excellence
having or suggesting a consciousness of high position
having authority or ascendancy or influence