determine if the points (1,5),(2,3) and (-2,-11) are collinear
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Answered by
21
Answer:
They are not collinear.
Step-by-step explanation:
Slope of line from (1,5) to (2,3)
= ( 3 - 5 ) / ( 2 - 1 )
= -2 / 1
= -2
Slope of line from (-2,-11) to (2,3)
= ( 3 - (-11) ) / ( 2 - (-2) )
= ( 3 + 11 ) / ( 2 + 2 )
= 14 / 4
= 7 / 2
As these are not equal, these are two different lines through (2,3), so the three points are not collinear.
Anonymous:
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first understand the question then ans
in this que if the points are collinear then apply area of triangle formula
Yes, showing that the three points make a triangle with nonzero area is definitely another way to show that three points are not collinear. On this occasion though, it seemed much simpler to just use the fact that slope(AB) not equal to slope(AC) means A, B, C are not collinear!
Answered by
4
Hey!!! Liam here is your answer :
Let the points (1, 5), (2, 3), and (- 2,-11) be representing the vertices A, B, and C of the given triangle respectively.Let A = (1, 5), B = (2, 3) and C = (- 2,-11)
Since AB + BC ≠ CA
Therefore, the points (1, 5), (2, 3), and ( - 2, - 11) are not collinear.
Let the points (1, 5), (2, 3), and (- 2,-11) be representing the vertices A, B, and C of the given triangle respectively.Let A = (1, 5), B = (2, 3) and C = (- 2,-11)
Since AB + BC ≠ CA
Therefore, the points (1, 5), (2, 3), and ( - 2, - 11) are not collinear.
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