Why is Christ's work on the cross essential for salvation?

The work of Christ on the cross is the cornerstone of Christian salvation, as it satisfies the justice of God while demonstrating His love. According to Matthew 1:21, Jesus came to save His people from their sins, meaning His act of atonement is necessary for redemption. On the cross, He bore the sins of His people, providing a way for them to be justified and reconciled to God. This work embodies the fullness of grace, where God can be both just and the justifier of the one who has faith in Jesus, as explained in Romans 3:26.