"And this is life eternal, that they might know thee the only true God, and Jesus Christ, whom thou hast sent."
The EGW passage directly alludes to the concept of eternal life and union with God, which is a central theme of John 17:3. The phrase "life eternal" is a key element in both passages.
"Instead of directing the people to study men's theories about God, His word, or His works, He taught them to behold Him, as manifested in His works, in His word, and by His providences. He brought their minds in contact with the mind of the Infinite. Ed 81.2"
"Jesus saith unto him, Have I been so long time with you, and yet hast thou not known me, Philip? he that hath seen me hath seen the Father; and how sayest thou then, Shew us the Father?"
Both passages emphasize the importance of knowing God directly, rather than relying on intermediaries or human interpretations. John 14:9 highlights that seeing Jesus is seeing the Father, while EGW emphasizes studying God through His works, word, and providences to connect with the mind of the Infinite.
"The people “were astonished at His teaching (R.V.), for His word was with power.” Luke 4:32 . Never before spoke one who had such power to awaken thought, to kindle aspiration, to arouse every capability of body, mind, and soul. Ed 81.3"
"And they were astonished at his doctrine: for his word was with power."
Ellen White directly references Luke 4:32 in this passage.
"Christ's teaching, like His sympathies, embraced the world. Never can there be a circumstance of life, a crisis in human experience, which has not been anticipated in His teaching, and for which its principles have not a lesson. The Prince of teachers, His words will be found a guide to His co-workers till the end of time. Ed 81.4"
"Teaching them to observe all things whatsoever I have commanded you: and, lo, I am with you alway, even unto the end of the world. Amen."
Both passages emphasize the enduring relevance and comprehensiveness of Christ's teachings. Matthew 28:20 promises Christ's presence and commands to teach all things, while the EGW passage states that Christ's teaching anticipates every circumstance and crisis. The connection is in the idea that Christ's teachings are a guide for all time.