Find k if (2, 3), (4, k) and 6,-3) are collinear – InterviewSolution

1.

Find k if (2, 3), (4, k) and 6,-3) are collinear

Answer»

If points are collinear, then area is 0

Area=(1/2)[2(k+3)+4(-3-3)+6(3-k)]

0=(1/2)[2k+6+4(-6)+18-6k]

0=(1/2)[2k+6-24+18-6k]

0=(1/2)[-4k+36]

0=-2k+18

k=18/2=9

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