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
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document.write( "(-2, 1) (8, 3) \n" );
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Algebra.Com's Answer #85217 by checkley71(8403)![]() ![]() ![]() 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. \n" ); document.write( "--------------------------------------------------------------- \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) \n" ); document.write( "--------------------------------------------------- \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( " |