Find the value of k, if the following three points are collinear (-2,-5), (-3,-k), and (-5,1).
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given, the points are collinear
hence area of triangle formed by these three points must be zero.
|. -2. -5. 1. |
1/2 | -3. -k. 1 | = 0
|. -5. 1. 1 |
-2(-k - 1) - (-5)(-3-(-5)) + 1(-3-5k) = 0
2k + 2 - 15 + 25 - 3 - 5k = 0
5k - 2k = 25+2-15-3
3k = 9
k = 3
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