document.write( "Question 489729: how do you write the equation of the perpendicular bisector of the segment joining A(-5,4) and B(-3,6)? \n" ); document.write( "
Algebra.Com's Answer #334113 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! how do you write the equation of the perpendicular bisector of the segment joining A(-5,4) and \n" ); document.write( "B(-3,6) \n" ); document.write( "** \n" ); document.write( "Coordinates of the midpoint between A and B: \n" ); document.write( "(x1+x2)/2, (y1+y2)/2=(-3-5)/2,(6+4)/2=(-4,5) \n" ); document.write( "Slope of given segment=∆y/∆x=(4-6)/(-5+3)=-2/-2=1 \n" ); document.write( ".. \n" ); document.write( "Slope of perpendicular bisector=-1 (negative reciprocal) \n" ); document.write( "Equation of perpendicular bisector: y=-x+b \n" ); document.write( "solving for b, using coordinates of given segment midpoint (-4,5) \n" ); document.write( "5=4+b \n" ); document.write( "b=1 \n" ); document.write( "Equation: \n" ); document.write( "y=-x+1 \n" ); document.write( " |