document.write( "Question 220888: Write an equation for the perpendicular bisector of the line segment connecting A(-1, 4) and B(3, 5). The perpendicular bisector of a line segment AB is the line that is perpendicular to AB and cuts AB into two equal pieces \n" ); document.write( "
Algebra.Com's Answer #165843 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! an equation for the perpendicular bisector of the line segment connecting A(-1, 4) and B(3, 5). \n" ); document.write( " The perpendicular bisector of a line segment AB is the line that is \n" ); document.write( " perpendicular to AB and cuts AB into two equal pieces \n" ); document.write( ": \n" ); document.write( "Find the slope (m1) of the given line segment \n" ); document.write( "x1 = -1; y1 = 4 \n" ); document.write( "x2 = 3; y2 = 5 \n" ); document.write( ": \n" ); document.write( "m1 = \n" ); document.write( ": \n" ); document.write( "Find the midpoint of the line: \n" ); document.write( "m.p. = \n" ); document.write( "m.p. = \n" ); document.write( "m.p. = x=1, y=4.5; is the mid-point \n" ); document.write( ": \n" ); document.write( "Find the slope of the perpendicular line \n" ); document.write( " \n" ); document.write( "m2 = 4(-1) \n" ); document.write( "m2 = -4 \n" ); document.write( ": \n" ); document.write( "Find equation of the bisecting line using this slope and the midpoint \n" ); document.write( "y - 4.5 = -4(x - 1) \n" ); document.write( "y - 4.5 = -4x + 4 \n" ); document.write( "y = -4x + 4 + 4.5 \n" ); document.write( "y = -4x + 8.5; is the bisecting perpendicular line \n" ); document.write( " |