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07-04-2021
Mathematics

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Find k given that these three points are collinear.
A(0, -2), B(2, 0), and C(5, k)

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07-04-2021

Answer:

k = 3.

Step-by-step explanation:

If they are collinear the slope of AB = the slope of BC, so :-

(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)

2/2 = k/3

1 = k/3

k = 3.

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