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The line $y = mx$ bisects the angle between the two lines shown below. Find $m$.
The two lines are y = x and y = 2x.

 Mar 22, 2024
 #1
avatar+128406 
+1

y = x  slope = 1  

 

y = 2x   slope =  2

 

m  =   tan  [   [ arctan (1)  + arctan (2) ] /  2  ]  ≈  1.388

 

 

cool cool cool

 Mar 23, 2024

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