There is a strong connection between the promises made to Abraham and the promise made to David. The promise to Abraham defines the land that Abraham and his seed, Jesus Christ will inherit for ever, and this flows on to all the faithful who believe into Christ and are baptised. The promise to David gives additional details concerning this promised seed. He would be the seed of David as well as the seed of Abraham. God would be the father of this seed, and the promised seed will sit upon the throne of David for ever.
Here are some of the relevant scripture:
2 Samuel 7:12-16 (KJV): 12 And when thy days be fulfilled, and thou shalt sleep with thy fathers, I will set up thy seed after thee, which shall proceed out of thy bowels, and I will establish his kingdom. 13 He shall build an house for my name, and I will stablish the throne of his kingdom for ever. 14 I will be his father, and he shall be my son. If he commit iniquity, I will chasten him with the rod of men, and with the stripes of the children of men: 15 But my mercy shall not depart away from him, as I took it from Saul, whom I put away before thee. 16 And thine house and thy kingdom shall be established for ever before thee: thy throne shall be established for ever.
Matthew 1:1 (KJV): The book of the generation of Jesus Christ, the son of David, the son of Abraham.
Luke 1:30-35 (KJV): 30 And the angel said unto her, Fear not, Mary: for thou hast found favour with God. 31 And, behold, thou shalt conceive in thy womb, and bring forth a son, and shalt call his name JESUS. 32 He shall be great, and shall be called the Son of the Highest: and the Lord God shall give unto him the throne of his father David: 33 And he shall reign over the house of Jacob for ever; and of his kingdom there shall be no end. 34 Then said Mary unto the angel, How shall this be, seeing I know not a man? 35 And the angel answered and said unto her, The Holy Ghost shall come upon thee, and the power of the Highest shall overshadow thee: therefore also that holy thing which shall be born of thee shall be called the Son of God.
Matthew 19:27-28 (KJV): 27 Then answered Peter and said unto him, Behold, we have forsaken all, and followed thee; what shall we have therefore? 28 And Jesus said unto them, Verily I say unto you, That ye which have followed me, in the regeneration when the Son of man shall sit in the throne of his glory, ye also shall sit upon twelve thrones, judging the twelve tribes of Israel.
Acts 2:29-36 (KJV): 29 Men and brethren, let me freely speak unto you of the patriarch David, that he is both dead and buried, and his sepulchre is with us unto this day. 30 Therefore being a prophet, and knowing that God had sworn with an oath to him, that of the fruit of his loins, according to the flesh, he would raise up Christ to sit on his throne; 31 He seeing this before spake of the resurrection of Christ, that his soul was not left in hell, neither his flesh did see corruption. 32 This Jesus hath God raised up, whereof we all are witnesses. 33 Therefore being by the right hand of God exalted, and having received of the Father the promise of the Holy Spirit, he hath shed forth this, which ye now see and hear. 34 For David is not ascended into the heavens: but he saith himself, The LORD said unto my Lord, Sit thou on my right hand, 35 Until I make thy foes thy footstool. 36 Therefore let all the house of Israel know assuredly, that God hath made that same Jesus, whom ye have crucified, both Lord and Christ.
Romans 1:1-3 (KJV): 1 Paul, a servant of Jesus Christ, called to be an apostle, separated unto the gospel of God, 2 (Which he had promised afore by his prophets in the holy scriptures,) 3 Concerning his Son Jesus Christ our Lord, which was made of the seed of David according to the flesh;
Thus clearly both OT and NT believers looked for the fulfilment of the land promise when Jesus will return to sit upon the throne of David in Jerusalem. Consider also Isaiah 2:1-4, Jeremiah 3:17, Micah 4:1-8, Zechariah 14, Matthew 5:35, Acts 1:11, Acts 3:19-21.
Kind regards
Trevor