"What has Jesus done for you, and what is He continually doing for us individually? What have you that you have not received? Said Christ: “I am the Vine, ye are the branches.” “Every branch in Me that beareth not fruit He taketh away: and every branch that beareth fruit, He purgeth it, that it may bring forth more fruit.” The branches do not sustain the vine, but the vine supports and nourishes the branches. The church does not support Christ, but Christ, by His vital power, supports the church. It is not enough to be a branch; we are to be fruitful branches. “He that abideth in Me,” said Jesus, “and I in him, the same bringeth forth much fruit.” But if the fruit produced be that of the thornbush, it is evident that we are not branches of the living Vine. 5T 344.1"
"I am the vine, ye are the branches: He that abideth in me, and I in him, the same bringeth forth much fruit: for without me ye can do nothing."
The EGW passage directly quotes and elaborates on the vine and branches analogy from John 15:5.
Life is disciplinary. While in the world, the Christian will meet with adverse influences. There will be provocations to test the temper; and it is by meeting these in a right spirit that the Christian graces are developed. If injuries and insults are meekly borne, if insulting words are responded to by gentle answers, and oppressive acts by kindness, this is evidence that the Spirit of Christ dwells in the heart, that sap from the living Vine is flowing to the branches. We are in the school of Christ in this life, where we are to learn to be meek and lowly of heart; and in the day of final accounts we shall see that all the obstacles we meet, all the hardships and annoyances that we are called to bear, are practical lessons in the application of principles of Christian life. If well endured, they develop the Christlike in the character and distinguish the Christian from the worldling. 5T 344.2 There is a high standard to which we are to attain if we would be children of God, noble, pu…
"Take my yoke upon you, and learn of me; for I am meek and lowly in heart: and ye shall find rest unto your souls."
The EGW passage echoes the theme of meekness and lowliness of heart found in Matthew 11:29, and connects it to Christian development through trials.