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    Question

    Determine the value of k such that the points A(2,3),

    B(4,k), and C(6,-3) lie on the same straight line.
    B 1 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D 3 Correct Answer Incorrect Answer

    Solution

    Since the points A, B, and C are collinear, the slope of line segment A(2, 3) to B(4, k) is the equal to the slope of the line segment from A(2, 3) to C(6, -3).

    To calculate slope, the formula is (y2 - y1)/(x2 - x1).

    => (k - 3)/(4 - 2) = (-3 - 3)/(6 - 2)

    => (k - 3)/2 = -6/4

    => (k - 3) = -3

    => k = 0

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