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What positive value of k would make the lines below parallel in the standard ( x, y) coordinate plane? kx + 2y = 8 18x + ky = 12 F. 0 G. 2 H. 6 J. 8 K. 12 The correct answer is H. Explanation: Parallel lines have equal slopes; kx 2 y 8, so, 2 y -kx 8, y -k x 4. 2 18 12 18 x ky 12, so ky 18 x 12, y x . The slopes must be equal, so k k -k 18 ,k 36, k 6. A positive value is required, so k 6. 2 k 2