document.write( "Question 117175: Write an equation in standard form of the line that is the perpendicular bisector of the line segment with the given endpoints.\r
\n" ); document.write( "\n" ); document.write( "(-2, 1) (8, 3)
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Algebra.Com's Answer #85217 by checkley71(8403)\"\" \"About 
You can put this solution on YOUR website!
I REALLY MESSED UP ON THIS ON i WAS NOT THINKING STRAIGHT.
\n" ); document.write( "BELOW IS THE CORRECTD GRAPH.
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\n" ); document.write( "FIRST YOU NEED TO FIND THE SLOPE(m).
\n" ); document.write( "(3-1)/(8+2)=2/10=.2.
\n" ); document.write( "NOW YOU USE ONE SET OF POINTS & THE SLOPE TO SOLVE THE LINE EQUATION FOR THE Y INTERCEPT(b).
\n" ); document.write( "1=.2*3+b
\n" ); document.write( "1=.6+b
\n" ); document.write( "b=1-.6
\n" ); document.write( "b=.4
\n" ); document.write( "SO THIS LINE EQUATION IS:
\n" ); document.write( "Y=.2X+.4 (RED LINE)
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\n" ); document.write( "SO A PERPENDICULAR LINE WILL HAVE A SLOPE (m)=-5.
\n" ); document.write( "NOW YOU NEED TO FIND THE MID POINT BETWEEN THESE 2 POINTS.
\n" ); document.write( "Y DISTANCE=3-1=2 SO THE MID POINT IS 2/2=1 FROM EITHER END OR 3-1=2 OR [Y=2]
\n" ); document.write( "X DISTANCE=8-2=6 SO THE MID POINT IS 6/2=3 FROM EITHER END OR 8-3=5 OR [X=5]
\n" ); document.write( "(5,2) IS THE MID POINT WITH A SLOPE OF -5.
\n" ); document.write( "NOW YOU NEED TO SOLVE FOR THE Y INTERCEPT(b)
\n" ); document.write( "2=-5*5+b
\n" ); document.write( "2=-25+b
\n" ); document.write( "b=27
\n" ); document.write( "SO THIS PERPENDICULAR LINE EQUATION IS:
\n" ); document.write( "Y=-5X+27 (GREEN LINE)
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-6%2C+25%2C+-6%2C+25%2C+y+=+.2x+%2B.4%2C+y+=+-5x+%2B27%29+\" (graph 300x300 pixels, x from -6 to 25, y from -6 to 25, of TWO functions y = .2x +.4 and y = -5x +27).
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