'Burden' in the Bible

The king said to Absalom, "No my son, not all of us shall go, so that we not be a burden to you." And he urged him, but he [was] not willing to go, but he blessed him.

David said to him, "If you move on with me, you will be a burden to me,

I [am] eighty years old today. Can I discern between good and bad? Or can your servant taste what I eat or what I drink? Or can I still hear the voice of singing men and women? Why should your servant be a burden any longer to my lord the king?