Why is King hopeful about the prospects for equal rights for black Americans despite his imprisonment and the injustices around him?

King remains hopeful about the prospects for equal rights for black Americans because he believes deeply in the power of love, nonviolence, and the moral arc of the universe, which he feels bends towards justice. He sees the growing support for civil rights among people of all races and recognizes the potential for societal change. Despite the injustices and personal sacrifices he faces, King is inspired by the resilience of the movement and the dedication of those fighting for equality, fostering his belief that progress is achievable.