Find the value of k so that (-1, 2), (2, 3) and (4, k) are collinear.

Dylan Benitez

Dylan Benitez

Answered question

2022-11-05

Find the value of k so that (-1, 2), (2, 3) and (4, k) are collinear.

Answer & Explanation

hitturn35

hitturn35

Beginner2022-11-06Added 20 answers

Since points are colinear then for area of triangle must be zero.
area of triangle = 1 2 | x 1 y 1 1 x 2 y 2 1 x 3 y 3 1 | | x 1 y 1 1 x 2 y 2 1 x 3 y 3 1 | = 0
Points are (-1,2), (2,3) and (4,k)
| 1 2 1 2 3 1 4 k 1 | = 0 1 ( 3 k ) 2 ( 2 4 ) + 1 ( 2 k 12 ) = 0 3 + k + 4 + 2 k 12 = 0 3 k + 1 12 = 0 3 k 11 = 0 k = 11 3

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