His days of personal ministry on earth were nearly ended, and that few would receive Him as their Redeemer. In travail and conflict of soul He prayed for His disciples. They were to be grievously tried. Their long- cherished hopes, based on a popular delusion, were to be disappointed in a most painful and humiliating manner. In the place of His exaltation to the throne of David they were to witness His crucifixion. This was to be indeed His true coronation. But they did not discern this, and in consequence strong temptations would come to them, which it would be difficult for them to recognize as temptations. Without the Holy Spirit to enlighten the mind and enlarge the comprehension the faith of the disciples would fail. It was painful to Jesus that their conceptions of His kingdom were, to so great a degree, limited to worldly aggrandizement and honor. For them the burden was heavy upon His heart, and He poured out His supplications with bitter agony and tears. DA 379.1 The disciples…
"And being in an agony he prayed more earnestly: and his sweat was as it were great drops of blood falling down to the ground."
Both passages describe Jesus in agony and prayer. The Luke passage focuses on the physical manifestation of his agony, while the EGW passage focuses on the reasons for his agony (the disciples' misunderstanding and impending trials).