# Perpendicular Bisector

Algebra Level 3

Consider the line segment whose endpoints are the $$x$$- and $$y$$-intercepts of $$4 x + y -24 = 0$$, and let line $$l$$ be the perpendicular bisector of this segment. If line $$l$$ passes through $$(11,\ a)$$, what is the value of $$a$$ ?

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