How does Melchizedek relate to the concept of grace?

Melchizedek's priesthood is a profound illustration of God's grace as it stands in stark contrast to the works-based righteousness promoted by the Levitical system. In Hebrews, the argument is that perfection could not come through the Levitical priesthood, which was temporary and flawed. Instead, the priesthood of Melchizedek, which is fulfilled in Christ, offers a better hope through which believers draw near to God. This grace is evident in that Jesus, as the eternal high priest, made a once-for-all sacrifice to atone for sin, providing redemption and peace with God, which is fundamentally unearned and granted through faith alone.