Elijah feels that he is alone without any support.
The Lord gives him more work to do: Anoint a king to replace Ahab. Anoint a prophet to continue your work.
Elijah continues his journey. He finds Elisha, the one the Lord has designated to be his successor.
Elisha is at work plowing when Elijah approaches him. He's ready to go but wants to say goodbye to his parents first. Commentators disagree on whether the text tells us that Elijah let him do this or not. In either case, Elisha slaughtered the oxen providing a meal to feed the people. Then he set out with Elijah.