Wise decision to be made

Geometry Level 2

Let θ \theta be the angle formed by lines L 1 L_1 and L 2 L_2 , and line L L bisects θ \theta . If L 1 L_1 and L 2 L_2 have equations y = 2 x y=2x and y = x y=x respectively, find the equation of line L L .

y = 1 − 10 3 x y=\frac {1-\sqrt{10}}3x y = 5 − 1 2 x y=\frac {\sqrt{5}-1}2x y = 1 + 10 3 x y=\frac {1+\sqrt{10}}3x y = 1 + 5 2 x y=\frac {1+\sqrt{5}}2x

César Castro by César Castro , 20, USA

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