SOLUTION: find an equation of the line that bisects the obtuse angles formed by the lines with equations 3x - y = 1 and x + y = -2 a)(3 sqrt 2 + sqrt 10)x - (sqrt 10 + sqrt 2)y - 2 sqrt(1

Algebra ->  Trigonometry-basics -> SOLUTION: find an equation of the line that bisects the obtuse angles formed by the lines with equations 3x - y = 1 and x + y = -2 a)(3 sqrt 2 + sqrt 10)x - (sqrt 10 + sqrt 2)y - 2 sqrt(1      Log On


   

Question 215584: find an equation of the line that bisects the obtuse angles formed by the lines with equations 3x - y = 1 and x + y = -2
a)(3 sqrt 2 + sqrt 10)x - (sqrt 10 + sqrt 2)y - 2 sqrt(10) + sqrt(2) = 0
b)(3 sqrt 2 - sqrt 10)x + (sqrt 10 - sqrt 2)y + 2 sqrt(10) + sqrt(2) = 0
c)(3 sqrt 2 + sqrt 10)x + (sqrt 10 - sqrt 2)y + 2 sqrt(10) - sqrt(2) = 0
d)(3 sqrt 2 + sqrt 10)x - (sqrt 10 + sqrt 2)y - 2 sqrt(10) - sqrt(2) = 0
Answer by solver91311(24713) About Me  (Show Source):
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Actually, none of the given answers are correct. Answers A, B, and D are lines that do not intersect the given lines at their point of intersection, hence they do not divide the angles formed by the given lines in any fashion, much less by bisection. The line represented by answer C does intersect at the point of intersection of the two given lines, but it appears to bisect the ACUTE angles formed by the given lines, not the OBTUSE angles.

What you need is an equation of a line that passes through the point (the point of intersection of the two given lines) with a slope that is the negative reciprocal of the line represented in answer C. Or you need to double check the question and answers and make sure you didn't make an error in transcribing.

John