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Find collinear A(4,1),B(-2,-3),C(6,7)

Solution:
Your problem `->` collinear A(4,1),B(-2,-3),C(6,7)


Here `A(4,1), B(-2,-3), C(6,7)` are the given points

`BA^2 = (4+2)^2 + (1+3)^2 = (6)^2 + (4)^2 = 36 + 16 = 52`

`:. BA = sqrt(52) = 7.2111`


`AC^2 = (6-4)^2 + (7-1)^2 = (2)^2 + (6)^2 = 4 + 36 = 40`

`:. AC = sqrt(40) = 6.3246`


`BC^2 = (6+2)^2 + (7+3)^2 = (8)^2 + (10)^2 = 64 + 100 = 164`

`:. BC = sqrt(164) = 12.8062`


`:. BA + AC = 7.2111+6.3246=13.5357!=12.8062=BC`

`:.` B,A,C are not collinear points








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