What does Luke 4:1 mean?
The passage before this explained Jesus' genealogy. That was a detour from Luke's narrative about Jesus' early life. The last event mentioned was Jesus' baptism by His cousin, John the Baptist (Luke 3:21–22). Here, Jesus returns from where John was baptizing in the Jordan river, heading alone into the wilderness. This refers to the uninhabited regions around Judea.Jesus has just been with John the Baptist along the Jordan River where John baptized Him. The Jordan River runs from the southern tip of the Sea of Galilee to the northern shoreline of the Dead Sea providing the eastern border for southern Galilee, all of Samaria, and northern Judea. Matthew 3:1 says John taught "in the wilderness of Judea." This would be on the southern end, just east of Jericho which is east of Jerusalem. The word translated "returned" in Greek can also imply that Jesus was "withdrawing." Jesus stepped away from the Jordan, where the crowds were, and into the wilderness. "Wilderness" merely means an uninhabited area of land. After Jesus' temptation, Luke says Jesus "returned" to Galilee, so the wilderness wasn't in Galilee.
It's unclear if "filled with the Holy Spirit" is a technical state. The Holy Spirit did descend on Jesus when John baptized Him (Luke 3:22). Does this mean Jesus has reached a point so He is no longer increasing in wisdom (Luke 2:52)? Unlikely, since He "learned obedience through what he suffered" (Hebrews 5:8). Does the filling of the Holy Spirit mark the beginning of Jesus' ability to perform miracles? We don't know. The comment that Jesus is filled with the Holy Spirit isn't given to explain what Jesus can now do; it's given to show beyond a shadow of a doubt that when He goes into the wilderness to be tempted by Satan, He is doing so by the guidance and direction of the Holy Spirit. He is neither fleeing a responsibility nor purposefully seeking Satan.
In Scripture, the wilderness is often described as the home of demonic forces (Luke 8:29; 11:24). That was due to their association with emptiness or a lack of civilization. Yet the same traits made it a good place to find solitude. Jesus often found the wilderness a temporary refuge where He could pray to His Father (Luke 1:80; 3:2; 5:16; 7:24).