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# perpendicular bisector

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The point A has the coordinates (2, 5)

The point B has the coordinates (6, 7)

(a) Find the midpoint of AB

(b) The equation of AB is y = 1/2x + 4

Find the equation of the perpendicular bisector to AB

YEEEEEET  Nov 11, 2017
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### 1+0 Answers

#1
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(2,5) and (6,7)

Midpoint is  [  (2 + 6) / 2  , (7 + 5)/ 2 ]  = [ 8/2, 12/2 ] =  [4, 6 ]

And the perpendicular bisector  will pass through this point

And the perpendicular bisector  will have a negative reciprocal slope to the given line  = - 2/1 = -2

So......the equation of the perpendicular bisector is :

y =  -2 (x - 4) + 6

y  = -2x + 8 + 6

y = -2x + 14

Here's a graph : https://www.desmos.com/calculator/ehlzdpzpkp

CPhill  Nov 11, 2017

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