+1661 The line y = mx bisects the angle between the two lines shown below. Find m.
The two lines are y = 2x and y = x/2.
+130575 General formula : arctan (a) + arctan (1/a) = 90° if a is a positive integer
Slope of first line = 2 ....angle formed by first line with x axis = arctan(2)
Slope of second line = 1/2 ....angle formed by second line with x axis
[ arctan (2) + arctan (1/2) ] / 2 = = 90 ° / 2 = 45°
m = slope 45° angle = 1
