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Let mark the points as:
A(2,-2), B(-3,8), B(-1,4)
The distance between the points are as follows
If the point should be collinear the sum of difference of two point is equal to the third one,
therefore points are collinear
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If three points are collinear then they lie in a line
equation of line passing through (2,-2)&(-3,8)
y+2 = -2(x-2)
2x + y = 2
if third point lie on this line then point must satisfy this line
-2+4 = 2
2 = 2
hence points are collinear

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