family line vs lineage

family line and lineage both are nouns.

Word	Noun	Adjective	Verb	Adverb
family line	Yes	No	No	No
lineage	Yes	No	No	No

As nouns, lineage is a hypernym of family line; that is, lineage is a word with a broader meaning than family line:

family line (noun)	lineage (noun)
people descended from a common ancestor	inherited properties shared with others of your bloodline
	the hereditary derivation of an individual
	a rate of payment for written material that is measured according to the number of lines submitted
	the number of lines in a piece of printed material
	the kinship relation between an individual and the individual's progenitors