Question 329621: Write the equation of the bisector of the segment joining the points with coordinates of (-3,4) and (5,-2)
thank you
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Write the equation of the bisector of the segment joining the points with coordinates of (-3,4) and (5,-2)
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Plot the points so you can see the solution.
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Find the midpoint (x,y) of the line segment joining the points.
x = (-3+5)/2 = 1
y = (4-2)/2 = 1
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mid-point is (1,1)
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Find the slope of the line segment:
m = (-2-4)/(5--2) = -6/7
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Comment: I'm going to assume you want the perpendicular bisector.
Fact: The pb must have a slope of 7/6 and must pass thru (1,1)
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Form: y = mx+b
1 = (7/6)(1) +b
b = -(1/6)
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Equation:
y = (7/6)x-(1/6)
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cheers,
Stan H.
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