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A)  L is perpendicular to AB because their slopes are negative reciprocals, or the product of their slopes (1/4) and (-4), respectively, is -1.

B)  L passes through the midpoint of AB because the midpoint (5/2, 1) is a solution to equation L, and the intersection of L and AB.  (5/2, 1) is also the distinct solution of the system of linear equations L and AB.

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