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1. The lines \(y = \frac{1}{3} x\) and \(y = \frac{13}{9} x\) are drawn in the coordinate plane. Find the slope of the line that bisects the angle between these lines.

 

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2. The real numbers \(x\) and \(y\) satisfy \(x^2 + y^2 = 4x + 4y.\) Find the largest possible value of \(x.\)

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Thank you very much!

 May 10, 2020
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1. The slope of the line is 5/4.

 

2. The largest possible value of x is 5*sqrt(2).

 May 12, 2020

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