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The equation of the perpendicular bisector of the line segment joining the points (-3,8) and (-5,4) is y = mx + b. Find m+b. Note: The perpendicular bisector of the line segment \overline{AB} is the line that passes through the midpoint of \overline{AB} and is perpendicular to \overline{AB}.

 

i know m = 2 but how about b?

 Mar 2, 2020
 #1
avatar+26006 
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mid point is     -4, 6

 

slope is   (8-4) / (-3 - -5) =  4/2 = 2      perpindicualr slope     -1/2

 

y = mx + b

6 = -1/2 (-4) + b     b = 4

 

y = -1/2 x + 4

 Mar 2, 2020
 #2
avatar+21955 
+1

The answer to your question (below) was y  =  (-1/2)x + 4.

This means that m = -1/2 and b = 4.

 Mar 2, 2020

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