Question

For what value of k will make the three points(1,4),(-3,16)and (k,-2)collinear?

Answer 1

Answer:

k=3

Step-by-step explanation:

Consider

a(1,4), b(-3,16) and c(k,-2).

Form a matrix for solution'

°in the attached picture°

Expand from R¹

=1(16+2) -4(-3-k) +1(6-16k)

=18+12+4k +6-16k

=36+12k

The points a, b and c are collinear (given).

=) 0=36+12k

-36/12=k

k=3

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