If algebraic sum of lengths of perpendiculars drawn from vertices of a hexagon ABCDEF, A(-2,-1), B(0,-2), C(4,0), D(3,2),

Question

If algebraic sum of lengths of perpendiculars drawn from vertices of a hexagon ABCDEF, A(-2,-1), B(0,-2), C(4,0), D(3,2), E(2,3), F(-1,4) on a
variable line ax + by + c = 0 is zero, then variable line always passes through a fixed point (p,q), then the value of p + q is

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