document.write( "Question 184086: Find an equation y = m x + b of the perpendicular bisector of the line segment joining the points A(3,5) and B(9,-1).
\n" ); document.write( "The slope m is
\n" ); document.write( "The constant b is \n" ); document.write( "
Algebra.Com's Answer #138160 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Find an equation y = mx + b of the perpendicular bisector of the line segment joining the points A(3,5) and B(9,-1).
\n" ); document.write( ";
\n" ); document.write( "Find the slope of the line given by the above coordinates; m = \"%28y2-y1%29%2F%28x2-x1%29\"
\n" ); document.write( "Assign the points as follows:
\n" ); document.write( "x1=3; y1=5
\n" ); document.write( "x2=9; y2=-1
\n" ); document.write( "m1 = \"%28%28-1-5%29%29%2F%28%289-3%29%29\" = \"%28-6%29%2F6\" = -1 is the slope
\n" ); document.write( ":
\n" ); document.write( "Find the slope of the perpendicular line (m2)
\n" ); document.write( "m1*m2 = -1
\n" ); document.write( "-1*m2 = -1
\n" ); document.write( "m2 = \"%28-1%29%2F%28-1%29\"
\n" ); document.write( "m2 = +1 is the slope of the perpendicular line
\n" ); document.write( ":
\n" ); document.write( "Find the mid-point of the line mp = \"%28x2%2Bx1%29%2F2\" & \"%28y2%2By1%29%2F2\"
\n" ); document.write( "mp = \"%289%2B3%29%2F2\" \"%285-1%29%2F2\" = \"%2812%29%2F2\" & \"4%2F2\"
\n" ); document.write( "mid point: x=6 y=2, (we know lines intersect at this point)
\n" ); document.write( ":
\n" ); document.write( "Find the perpendicular line using the point/slope equation y - y1 = m(x-x1)
\n" ); document.write( "and the intersection coordinates:
\n" ); document.write( "y - 2 = +1(x - 6)
\n" ); document.write( "y - 2 = x - 6
\n" ); document.write( "y = x - 6 + 2
\n" ); document.write( "y = x - 4; is the perpendicular line
\n" ); document.write( ":
\n" ); document.write( "The slope m is 1
\n" ); document.write( "The constant b is -4 \n" ); document.write( "
\n" );