Question 489729: how do you write the equation of the perpendicular bisector of the segment joining A(-5,4) and B(-3,6)?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! how do you write the equation of the perpendicular bisector of the segment joining A(-5,4) and
B(-3,6)
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Coordinates of the midpoint between A and B:
(x1+x2)/2, (y1+y2)/2=(-3-5)/2,(6+4)/2=(-4,5)
Slope of given segment=∆y/∆x=(4-6)/(-5+3)=-2/-2=1
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Slope of perpendicular bisector=-1 (negative reciprocal)
Equation of perpendicular bisector: y=-x+b
solving for b, using coordinates of given segment midpoint (-4,5)
5=4+b
b=1
Equation:
y=-x+1
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