document.write( "Question 598923: write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,5) \n" ); document.write( "
Algebra.Com's Answer #378734 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,5)
\n" ); document.write( "**
\n" ); document.write( "slope of line segment=∆y/∆x=(5-1)/(7-(-1))=4/8=1/2
\n" ); document.write( "slope of perpendicular bisector = -2 (negative reciprocal)
\n" ); document.write( "mid point of perpendicular bisector =(7-1)/2,(5+1)/2=(3,3)
\n" ); document.write( "Standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "equation:
\n" ); document.write( "y=mx+b
\n" ); document.write( "using midpoint and slope to find b
\n" ); document.write( "3=-2*3+b
\n" ); document.write( "b=9
\n" ); document.write( "y=-2x+9
\n" ); document.write( "
\n" ); document.write( "
\n" );