Genesis 44:30
Now therefore when I come to thy servant my father, and the lad be not with us; seeing that his life is bound up in the lad’s life; Now therefore when I come to thy servant my father, and the lad be not with us; seeing that his life is bound up in the lad’s life;
The words belong to Judah's appeal to the Egyptian ruler, who is Joseph, pleading privately and aside from the others in intense distress for Benjamin's life and release to return home. The statement that Jacob's life is bound up in the lad's life means Jacob loves Benjamin deeply and depends on him, so that the father's own life and safety depend on Benjamin's safety. Part of the reason for that bond is that Jacob still grieves greatly over the loss of Joseph. Benjamin is all that is left to Jacob from Rachel, the wife he loved, indeed the only remaining son by her.
Because of this, Jacob was reluctant and unwilling to let Benjamin go down to Egypt. Judah explains that absence and separation from Benjamin would bring Jacob overwhelming grief and sorrow that would kill the aged father and hasten his death. Judah warns that if the brothers come to their father without the lad, they will bring his old age and gray hairs down to the grave in sorrow. Judah uses the bond to explain why he cannot return to, come to, or meet his father without the lad.
Judah had pledged himself as surety for Benjamin to secure the journey. Judah therefore offers to remain as a slave and bondman in Benjamin's place and take the danger of that loss upon himself, so Benjamin can go free.