The temptation of Christ, the "Last Adam" (1 Cor. 15:45), is the best understood when contrasted with that of "the first man Adam." Adam was tempted in his place of lord of creation, a lordship with only one reservation, the knowledge of good and evil (Genesis 1:26, 2:16-17).
Through the woman he was tempted to add that also to his dominion. Falling, he lost all. But Jesus Christ had taaken the place of a lowly Servant, acting only from and in opedience to the Father (Phil. 2:5-8; See also John 5:19; John 6:57; John 8:28, 54). Compair with Isaiah 41:8, see foot note SRB 749) that He might redeem a fallen race and a creation under the curse (Genesis 3:17-19; Romans 8:19-23).
Satan's one object in the threefold temptation was to induce Christ to act from Himself, in independency of His Father. The first two temptations were a challenge to Christ. (SRB 997)