The Line of 2014

Geometry Level pending

It is given that two lines in the x y p l a n e xy-plane intersect at ( 8 , 2014 ) ( \sqrt{8}, \sqrt{2014}) . If the ratio of the differences of their intercepts to that of the difference of their slopes can be written as G : 1 , G G : 1, G being real. Find G 2 G^2 .


The answer is 8.

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