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The perpendicular bisector of the line segment connecting the points (-3,8) and (5,4) has an equation of the form y=mx+b. Find m+b.

 Jun 26, 2021
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Midpoint is   1,6          slope, m, between points is 4/-8 = -1/2    ( you should know how to do this)  

                                      perpindicular slope =  -1/m  =    2   ( you should know this too)

 

point slope form of your perpindicular line is then:

 

y-6 = 2 (x-1)    re-arrange

y-6 = 2x - 2

y = 2 x + 4          you can finish .....

 Jun 27, 2021

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