Matthew's genealogy of Jesus is the legal one through Joseph, his step father, to prove he is, according to the Law, the seed of David and Abraham to whom God made vital promises. It does not start with Adam because Jesus was not a blood relative of Joseph, but Mary was, and so Jesus' full genealogy through her is recorded in Luke.
“Messiah” in Hebrew and “Christ” in Greek both mean “anointed”, and Jesus was "anointed" when the Holy Spirit came upon him at his baptism. “Christ” is not a surname such as we have, but a title which announces that he is the one anointed to rule God’s people of Israel - just as the kings of Israel in the past would be anointed. 1 Samuel 10:1,Waiting for response for 1 Samuel 10:1 1 Samuel 16:13Waiting for response for 1 Samuel 16:13
Faithful female ancestors of Jesus are included in his genealogy - and they are all gentile, a hint of the secret that gentiles would become related to Israel and heirs with Christ! Ephesians 3:4-6Waiting for response for Ephesians 3:4-6
The genealogies of Joseph and Mary are the same down to David but then divides: Joseph's through Solomon and Mary's through Nathan. Luke 3:31Waiting for response for Luke 3:31
Two are names omitted here, including Coniah, showing God can count men unworthy of inclusion with Christ (Jeremiah 22:24,30)Waiting for response for Jeremiah 22:24,30 and their names blotted out (Psalms 109:13).Waiting for response for Psalms 109:13 Happily, the opposite is also true: names not blotted out of the book of life (Revelation 3:5)Waiting for response for Revelation 3:5 and be counted as born in Zion (Psalms 87:5-6)Waiting for response for Psalms 87:5-6 and worthy of the kingdom of God (2 Thessalonians 1:5).Waiting for response for 2 Thessalonians 1:5
Mary's betrothed, Joseph, accepted this information and, even though he had no blood relationship with him, became Jesus’ legal father. Therefore Joseph’s genealogy is given v.16Waiting for response for Matthew 1:16 to prove that under the law Jesus was related to both Abraham and David, a vital relationship because it was to these two men that God made promises concerning their seed. Joseph was instructed to give Mary’s baby the name Jesus, meaning “Yah saves”, because through him God would save his people from their sins v.21.Waiting for response for Matthew 1:21 This was declared to be God’s purpose from the very beginning. For example, in Genesis 3:15,Waiting for response for Genesis 3:15 concerning the “seed of the woman” and also through the prophet Isaiah that a virgin would bear this great deliverer Isaiah 7:14.Waiting for response for Isaiah 7:14
Jesus was born to Mary, a virgin, when the power of God acted on her to produce a child who was not her son only but also God’s ”...for that which is conceived in her is of the Holy Spirit”.
The Gospel writers, inspired by God, present Jesus life to us from four different perspectives which correspond to those indicated by the four faces of the cherubim. Ezekiel 1:10.Waiting for response for Ezekiel 1:10 Matthew emphasises Jesus as "The King of Israel" and represented by the face of a lion.