For three points to be collinear, the slope of all pairs must be equal, that is the slope of AB = slope of BC = slope of CA

Given points are A(6, -1), B(5, 0) and C(2, 3)

Slope of AB =

Slope of BC =

Slope of CA =

Therefore slopes of AB, BC and CA are equal, so Points A,B,C are collinear.