The coordinates of three points are A(1, 5), B(9, 7) and C(k, - 6). M is the

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The coordinates of three points are A(1, 5), B(9, 7) and C(k, - 6).

M is the midpoint of AB and MC is perpendicular to AB.

a. Find the coordinates of M.

b. Find the value of k.

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