This verse is part of the genealogy of Jesus as presented in the Gospel of Luke (Luke 3:23-38). Specifically, it lists a series of ancestors in Jesus' lineage, tracing his ancestry back to David and ultimately to Adam.

Here's a breakdown of what it means:

"The son of Matthat, the son of Levi...": This phrase indicates a father-son relationship. It is establishing that Matthat was the father of Levi, Levi was the father of Melchi, and so on.
Genealogy: The overall purpose of the genealogy in Luke is to connect Jesus to both Jewish history (through David) and to all of humanity (through Adam). This highlights Jesus' significance as both the Jewish Messiah and the Savior of the world.
Differing Genealogies: It's important to note that Luke's genealogy differs significantly from the genealogy in the Gospel of Matthew. Matthew's genealogy focuses on Joseph's lineage, while Luke's is often understood to trace Mary's lineage. There are various explanations for these differences, including:
Different purposes: Matthew emphasizes Jesus' legal claim to the throne of David through Joseph, while Luke emphasizes Jesus' broader connection to humanity through Mary.
Levirate marriage: If a man died without children, his brother was obligated to marry the widow and raise up offspring in the deceased man's name. This could lead to legal and biological fathers being different.
Adoption: Adoption was practiced in ancient times, and it could also explain differences in genealogical records.

In summary, this verse is a small part of a larger genealogical record that aims to establish Jesus' identity and significance within Jewish history and for all of humanity. It is part of a larger, complex, and debated topic of the accuracy and purpose of the genealogies in the Gospels of Matthew and Luke.