How does the Old Testament law relate to grace?

The author of Hebrews draws upon the purpose of the Old Testament law to illustrate our need for grace. The law was not given as a means by which sinners might earn favor, but to reveal our total inability to meet God's holy standard (Galatians 3:24). This serves to point us to Christ, who fulfills the law on our behalf, allowing us to receive grace. While the law demonstrates our failure, it ultimately leads us to recognize that salvation comes through faith in Christ alone, devoid of the works of the law (Romans 10:4).