# Bisecting Line

Pro Problems > Math > Geometry > Analytic Geometry > Linear## Bisecting Line

Find the equation of the line which has a positive slope, and bisects the angle between the lines y = 3x + 2 and y= -x - . Give your answer in slope-intercept form, with exact values.

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NOTE: The given solution provides two significantly different methods for solving this problem. One method relies on the point-to-line distance formula; the other uses trigonometry.

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Problem by Mr. Twitchell

## Solution

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Click here to assign this problem to your students.## Similar Problems

### Coordinate Perimeter

Find the perimeter of a triangle formed by the lines whose equations are:

y = 3x = 2

y = -

3

4

15

2

### Angle Between Lines

The following information is known about lines A and B:

- Line A has a slope of 43
- Line B forms a 30º angle with line A

Find all possible values of the slope of line B.

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