The point (–3, 5) has been reflected so that the image is at (5, –3). What is the line of reflection?

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09-06-2016
Mathematics

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The point (–3, 5) has been reflected so that the image is at (5, –3). What is the line of reflection?

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caylus caylus · Answer 1 · 2016-06-09T16:01:45+02:00

caylus caylus

09-06-2016

Hello,
the line is the perpendicular bisector of A(-3,5) and B(5,-3)

Let M the middle of AB
M=((-3+5)/2,(5+(-3))/2)=(1,1)
Slope of AB= (-3-5)/(5+3)=-8/8=-1
Slope of the perpendicular : -1*?=-1=>?=1
Equation :y-1=1*(x-1)==>y=x

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