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Improved answer as follows:-

First find the mid-point of (-2, 5) and (-8, -3) which is (-5, 1)

Then find the slope or gradient of (-2, 5) and (-8, -5) which is 4/3

The perpendicular slope is the negative reciprocal of 4/3 which is -3/4

So the perpendicular bisector passes through (-5, 1) and has a slope of -3/4

Use y -y1 = m(x -x1)

y -1 = -3/4(x- -5)

y = -3/4x-11/4 which can expressed in the form of 3x+4y+11 = 0

So the equation of the perpendicular bisector is: 3x+4y+11 = 0

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Related Questions

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