The line joining points & passes through .
What is the product of all possible values of ?
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They are in one line so there slopes are equal..
m1 of (2m+2,2m) and (2m+1,3) is equal to m2 of (2m+2,2m) and (m+1,1)
m=(y2-y1)/(x2-x1)
m1= (2m-3)
m2= (2m-1)/(m+1)
m1=m2 so (2m-3)=(2m-1)/(m+1) then get m
so m= -1/2 and 2
-1/2*2= -1