The lines y = 2x and y = 3x are drawn in the coordinate plane. Find the slope of the line that bisects the acute angle between these lines.
+128406 y = 2x means that the angle that this line makes with the x axis = arctan (2)
Likewise.....y = 3x means that the angle that this line makes with the x axis = arctan (3)
To find the slope of the bisecting line we can evaluate this :
tan [ ( arctan (2) + arctan (3) ) / 2 ] ≈ 2.41
See the graph here : https://www.desmos.com/calculator/tqi2tckeln
