1 The book of the generation of Jesus Christ, the son of David, the son of Abraham.
2 Abraham begat Isaac; and Isaac begat Jacob; and Jacob begat Judas and his brethren;
Jacob's name was changed to Israel by God and through this would come the 12 tribes.
3 And Judas begat Phares and Zara of Thamar; and Phares begat Esrom; and Esrom begat Aram;
4 And Aram begat Aminadab; and Aminadab begat Naasson; and Naasson begat Salmon;
5 And Salmon begat Booz of Rachab; and Booz begat Obed of Ruth; and Obed begat Jesse;
6 And Jesse begat David the king; and David the king begat Solomon of her that had been the wife of Urias;
7 And Solomon begat Roboam; and Roboam begat Abia; and Abia begat Asa;
8 And Asa begat Josaphat; and Josaphat begat Joram; and Joram begat Ozias;
9 And Ozias begat Joatham; and Joatham begat Achaz; and Achaz begat Ezekias;
10 And Ezekias begat Manasses; and Manasses begat Amon; and Amon begat Josias;
11 And Josias begat Jechonias and his brethren, about the time they were carried away to Babylon:
12 And after they were brought to Babylon, Jechonias begat Salathiel; and Salathiel begat Zorobabel;
13 And Zorobabel begat Abiud; and Abiud begat Eliakim; and Eliakim begat Azor;
14 And Azor begat Sadoc; and Sadoc begat Achim; and Achim begat Eliud;
15 And Eliud begat Eleazar; and Eleazar begat Matthan; and Matthan begat Jacob;
16 And Jacob begat Joseph the husband of Mary, of whom was born Jesus, who is called Christ.
Joseph of course has nothing to do with Christ conception, but he did play a part of His life. Joseph adopted Christ as his own.
17 So all the generations from Abraham to David are fourteen generations; and from David until the carrying away into Babylon are fourteen generations; and from the carrying away into Babylon unto Christ are fourteen generations.
These divisions are the times before, during and after king David's families. 14 = Deliverance or Salvation in Biblical Numerics.
18 Now the birth of Jesus Christ was on this wise: When as His mother Mary was espoused to Joseph, before they came together, she was found with child of the Holy Ghost.
"Was on this wise" = exactly as it happened. Mary was a virgin and was conceived by the Holy Spirit before Joseph had taken her in marriage.
19 Then Joseph her husband, being a just man, and not willing to make her a public example, was minded to put her away privily.
20 But while he thought on these things, behold, the angel of the Lord appeared unto him in a dream, saying, Joseph, thou son of David, fear not to take unto thee Mary thy wife: for that which is conceived in her is of the Holy Ghost.
Joseph knew right then and there what was being said. Mary was carrying The Messiah.
21 And she shall bring forth a son, and thou shalt call His name Jesus: for He shall save His people from their sins.
Jesus = "Yah Savior" or "God Who is our salvation"
22 Now all this was done, that it might be fulfilled which was spoken of the Lord by the prophet, saying,
This is recorded in Isaiah 7:14 "Therefore the Lord Himself shall give you a sign; Behold, a virgin shall conceive, and bear a son, and shall call his name Immanuel."
23 Behold, a virgin shall be with child, and shall bring forth a Son, and they shall call His name Emmanuel, which being interpreted is, God with us.
If you have any question of the wasted time of debating who Christ is, this should clear it up, "God with us!"
24 Then Joseph being raised from sleep did as the angel of the Lord had bidden him, and took unto him his wife:
25 And knew her not till she had brought forth her firstborn Son: and he called His name Jesus.
Joseph didn't lay with Mary = make love to her, until after Emmanuel, Christ Jesus had been born from the womb.