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larisa86 [58]
3 years ago
14

Write an equation in point-slope form for the perpendicular bisector of the segment with endpoints m(-1,-3) and n(7,1)

Mathematics
1 answer:
AlekseyPX3 years ago
5 0
To find the perpendicular bisector, you have to find the midpoint of mn
which is

(  \frac{-1 -7}{2} ,  \frac{-3 -1}{2} ) = (-4, -2)  <-- midpoint of mn

next you find the slope of mn which is
 
\frac{-3 -1}{-1 -7} =  \frac{-4}{-8} = 1/2 <- this is the slope

to find the perpendicular slope, you take the negative recipricol which is

-2

so now we know the perpendicular bisector line has a slope of -2 and passes through (-4, -2)

so 

y-(-2) = -2(x-(-4))
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