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)\"\" \"About 
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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 = \"%285-4%29%2F%283-%28-1%29%29\" = \"1%2F%283%2B1%29\" = \"1%2F4\"
\n" ); document.write( ":
\n" ); document.write( "Find the midpoint of the line:
\n" ); document.write( "m.p. = \"%28-1%2B3%29%2F2\", \"%284%2B5%29%2F2\"
\n" ); document.write( "m.p. = \"%282%29%2F2\", \"%289%29%2F2\"
\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( "\"1%2F4\"*m2 = -1
\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
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