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write the equation of the perpendicular bisector of the segment joining A(-5,4) and B(3,-6)
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mid point = ( -1,-1) ===> slope = -10/8=-5/4 ==> slope of perpendicuar = 4/5 ===> equation is y=4/5 x+b ===> -1=-4/5+ b ===> b=-1/5 ==> y =4/5 x-1/5
You need to find the mid points first, the mid points for the segment are \((-1,-1)\) Then Slope of the Segment which is \(\frac{-10}{8}\) Slope of the perpendicular line would be \(\frac{8}{10}\) Now you have you're equation \(y = \frac{8}{10}*x + c\) Now put the mid point to determine the C. And you have your equation :D
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