Question

using   the  distance  formula  show  that  the  points  (-1,4),(2,3),(5,2)  are  collinear

Answer 1

let
A= (-1,4)
B=(2,3)
C= (5,2)
using distance formula
AB= √{(-1 - 2)² + (4 - 3)²}
=√(9 + 1)
=√10
again 
AC = √{(-1 - 5)² + (4 - 2)²}
   = √(36 + 4)
  = √40
= √ 4 × √10
= 2√10

similarly ,
BC = √{(2 - 5)² + (3 - 2)²}
    = √(9 + 1)
   = √10
so clearly we see that 
AB + BC = AC
i.e.
√10 + √10 = 2√10
hence proved
points  (-1,4),(2,3),(5,2)  are  collinear

Answer 2

$<b>Hope it helps uh$ ✌️❣️