<PRE><B>Question 374054</B>
Find the intersection of the 2 lines, = (2,0)
-----------
Find the slope of the 2 lines:
4x-3y = 8 m1 = 4/3
2x+y = 4 m2 = -2
-------------
The slope is the arctan of the angle the line makes with the x-axis
arctan(4/3) =~ 53.13º
arctan(-2) =~ -63.435º
The angle between them is 116.565º (in Quad 1), so the acute angles are 83.435º
The bisector makes and angle of 53.15 + (83.435)/2 = 84.8675º with the x-axis
Its slope = tan(84.8675) = 11.133
---------------------
Use y = mx + b and the point (2,0)
0 = 2*11.133 + b
b = -22.266
Equation is y = 11.133x - 22.266
</PRE>