SOLUTION: Find the equation for the right bisector of the line segment joining the points A(1,1) and B(2,3).

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equation for the right bisector of the line segment joining the points A(1,1) and B(2,3).      Log On


   

Question 549299: Find the equation for the right bisector of the line segment joining the points A(1,1) and B(2,3).
Found 2 solutions by stanbon, ashwanidahiya:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation for the right bisector of the line segment joining the points A(1,0) and B(2,3).
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The mid-point is ((1+2)/2,(0+3)/2) = (3/2 , 3/2)
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The line thru AB is 3/1 = 3
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The slope of the bisector must be -1/3
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Form: y = mx+b
0 = (-1/3)1+b
b = 1/3
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Equation of perpendicular bisector is y = (-1/3)x+(1/3)
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Cheers,
Stan H.
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Answer by ashwanidahiya(1) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+2%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+0+%29%0D%0A++

Any system of equations:


has solution

or



(x=1, y=1}