'Covenant' in the Bible

Abner said to David, "I will arise and go, and will gather all Israel to my lord the king, that they may make a covenant with you, and that you may reign over all that your soul desires." David sent Abner away; and he went in peace.

So all the elders of Israel came to the king to Hebron; and king David made a covenant with them in Hebron before Yahweh; and they anointed David king over Israel.

Behold, Zadok also came, and all the Levites with him, bearing the ark of the covenant of God; and they set down the ark of God; and Abiathar went up, until all the people finished passing out of the city.

Most certainly my house is not so with God, yet he has made with me an everlasting covenant, ordered in all things, and sure, for it is all my salvation, and all [my] desire, although he doesn't make it grow.