What does it mean that Jesus is the Savior of sinners?

The declaration that Jesus is the Savior of sinners emphasizes His mission to redeem those who are lost and broken. In Matthew 12:21, it is foretold that 'in His name shall the Gentiles trust,' indicating that His redemptive work is available to all people, not just the Jews. He is portrayed as the compassionate healer who responds to the needs of the lost. This reinforces that no one is beyond His reach or grace. His sacrificial death on the cross satisfies the wrath of God against sin, allowing for all who come to Him in faith to receive forgiveness and eternal life.