If the points (p+1,p), (p, p+1) and (p-1,p-2) are the collinear then find the value of p?

Question

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Answer 1

As Darrell K said, these are not collinear points.  If they were then the slope between any

two points would be the same.

 

Slope between (p+1,p), (p, p+1) = slope between (p, p+1), (p-1,p-2) 

 

(p+1-p)/[p-(p+1)] = [(p-2)-(p+1)]/(p-1-p)

1/-1 = -3/-1

-1 = 3

 

Since we do not arrive at a true statement, then the slopes are not equal;

thus, these points are not collinear.