Games
Problems
Go Pro!

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= -
1
2
x -
3
2
. Give your answer in slope-intercept form, with exact values.

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.

Presentation mode
Problem by Mr. Twitchell

Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Assign this problem
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 = 3
x = 2
y = -
3
4
x +
15
2

Angle Between Lines

The following information is known about lines A and B:

  • Line A has a slope of
    4
    3
  • Line B forms a 30º angle with line A

Find all possible values of the slope of line B.

Ask Professor Puzzler

Do you have a question you would like to ask Professor Puzzler? Click here to ask your question!
Get a FREE Pro-Membership!
Educators can get a free membership simply by sharing an original lesson plan on our Articles for Educators page!


Like us on Facebook to get updates about new resources
Home
Pro Membership
About
Privacy