Question

If the points (7, -2), (5, 1), (3, k) are linear then find the value of k?
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Answer 1

Step-by-step explanation:

ALL THREE ARE IN A SAME LINE SO AREA =0

$area = 7(1) - ( - 2)(5) + 5k - 3 + 3( - 2) - 7k = 0 \\ 7 + 10 + 5k - 3 - 6 - 7k = 0 \\ 17 - 9 = 2k \\ 8 = 2k \\ k = 4$

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