SOLUTION: if (a,0) ,(0, b) (1,1) are collinear find relation between a& b

Question 882665: if (a,0) ,(0, b) (1,1) are collinear find relation between a& b
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Collinear; the slope between any pair of the three points is the same, allowing....

and ;
and ;
and ;
ab-a-b=0 and a-ab+b=0
-a-b+ab=0 and a+b-ab=0
a+b-ab=0

Simple sense about some common number facts may allow seeing that you may be able to see that if a=b=0, this will work, and if a=b=2, this will also work. Any other ways you see? Try testing any pick for a and find the corresponding value for b. Will the combination also work?
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