mathematics geometry

Question

for the three points O(0,0) ,A(3,0) and B(3,4) on the xy plane what is the equation of the angle bisector <AOB

Answer 1

The three points O(0,0) ,A(3,0) and B(3,4) on the xy plane are quite easy to plot -- so please do that.

The angle bisector of <AOB will always divide the line segment AB in half -- no matter how far away they are.

That means that the point O(0,0) and M(3,2) are on the line.

Use the point-slope form or the two-point form of the equation of the line to get: y = (2/3)x