Question

If the points A(2, 3), B(5, k) and C(6, 7) are collinear, then the value of k is

(a) 4 (b) 6 (c) 3

2



(d) 11

4
​

Answer 1

Answer:

k=6

Step-by-step explanation:

As they are collinear

their slopes must be same

           Slope of AB=Slope of BC

          k-3)/(5-2)=(7-k)/(6-5)

            (k-3)/3=(7-k)/1

            k-3=21-3k

              4k=24

               k=6

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