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Angle Between Lines

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Angle Between Lines

The following information is known about lines A and B:

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

Find all possible values of the slope of line B.

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Problem by Mr. Twitchell


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Similar Problems

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.

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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