Using distance formula show that the points A(2,4) , B(0,1) and c(4,7) are collinear.
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Hello !!
Is very simple solve your question with the formula of the distance of two points. See the resolution below.
√[(xB - xA)^2 + (yB - yA)^2] = √[(xC - xB)^2 + (yC - yB)^2]
√[(0 - 2)^2 + (1 - 4)^2] = √[(4 - 0)^2 + (7 - 1)^2]
√[(-2)^2 + (- 3)^2] = √[(4)^2 + (6)^2]
√[4 + 9] = √[16 + 36]
√13 ≠ √52
Final result : the points no are collinear.
I hope I have collaborated !
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