What does Romans 6:10 mean?

Christ is both our Savior and our role model. Paul has revealed in this chapter that when we put our faith in Him for our salvation from sin, we experienced a spiritual death with Him. Spiritually speaking, we died, were buried, and were then resurrected to a new spiritual life. The same will eventually happen for those who are in Christ physically, as well.

Now Paul is showing, in Christ's example, what will happen for us. Christ died to sin. Of course, He did not die to His own sin, for Christ never sinned (Hebrews 4:15). He died to pay for the sins of all those who trust in Him. He died once for all (Hebrews 9:26). It was a one-time payment for the sins of others, including past, present, and future sins. Christ does not need to go back to the cross every time someone sins again. He has finished the job of dying for the sins of humanity. It's over.

Now that Christ is resurrected, He lives again "to God." In other words, Christ's continued purpose is to live, to keep living, as God and for God's glory forever. He has no other agenda. Our new lives in Christ, with Christ, therefore, are headed in the same direction.