How do we know Jesus is the fulfillment of Isaiah's prophecy?

Isaiah 61 predicts the coming of one anointed to bring good news to the poor, heal the brokenhearted, and proclaim liberty to captives. In Luke 4:21, Jesus boldly states, 'This day is this scripture fulfilled in your ears,' affirming that He is the promised Messiah. The passage serves as a summary of His ministry that includes spiritual healing and deliverance for the captives of sin, aligning perfectly with Jesus' mission and affirming His messianic identity through His works and teachings.