Question
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"?
Answers
GPT 3.5
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.
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.