We have the lines y=3x and y=2x. Let y=mx be the angle bisector of these two lines. How can I find "m"?

1 answer

To find the equation of the angle bisector line between two lines, we first need to find the equations of the two lines in the form y=mx+b. Given that the two lines are y=3x and y=2x, we already have the equations in the form y=mx.

Now, we need to find the slopes of the two lines. The slope of y=3x is 3, and the slope of y=2x is 2.

Next, we use the formula for the slope of an angle bisector between two lines:
m = (m1 + m2) / 2

In this case, m1 = 3 and m2 = 2. Plugging in the values, we get:
m = (3 + 2) / 2 = 5/2

Therefore, the slope of the angle bisector line between y=3x and y=2x is m=5/2.