lay on the line vs seek

lay on the line is not a noun while seek is a noun.

Word	Noun	Adjective	Verb	Adverb
lay on the line	No	No	Yes	No
seek	Yes	No	Yes	No

As verbs, seek is a hypernym of lay on the line; that is, seek is a word with a broader meaning than lay on the line:

Other hypernyms of lay on the line include assay, attempt, essay, try.

lay on the line (noun)	seek (noun)
	the movement of a read/write head to a specific data track on a disk

lay on the line (verb)	seek (verb)
expose to a chance of loss or damage	inquire for
	try to locate or discover, or try to establish the existence of
	go to or towards
	try to get or reach
	make an effort or attempt