wax crayon vs writing implement

wax crayon and writing implement both are nouns.

Word	Noun	Adjective	Verb	Adverb
wax crayon	Yes	No	No	No
writing implement	Yes	No	No	No

As nouns, writing implement is a hypernym of wax crayon; that is, writing implement is a word with a broader meaning than wax crayon:

wax crayon: writing implement consisting of a colored stick of composition wax used for writing and drawing
writing implement: an implement that is used to write

wax crayon (noun)	writing implement (noun)
writing implement consisting of a colored stick of composition wax used for writing and drawing	an implement that is used to write