Given (x_1,y_1)=(0,2)
(x_2,y_2)=(8,-8)
(x_3,y_3)=(-3,10)
Distance between two points (x_1,y_1)=(0,2)
(x_2,y_2)=(8,-8)
d=√((-8-2)^2+(8-0)^2)
d=2√14
Distance between two points (x_2,y_2)=(8,-8)
(x_3,y_3)=(-3,10)
d=√((10+8)^2+(-3+8)^2)
d=√349
Distance between two points (x_1,y_1)=(0,2)
(x_3,y_3)=(-3,10)
d=√((10-2)^2+(-3-0)^2)
d=√73
2√14+√349=√73
Hence The three points are not collinear.
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