Let L be the line 2x + ky = 3k. Prove that
(a) if k is not equal to −6, then L does not have slope .
(b) for every real number k, line L is not parallel to the x-axis.
(c) there is a unique real number k such that L passes through (1, 4).
(d) the x-intercept of L is less than k if and only if k is negative.
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