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.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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