document.write( "Question 356302: its says determine the distance between point A(-1,-3) and point B(5,5). Write an Equation of the perpendicular bisector of side AB! and i have to use a grid \n" ); document.write( "
Algebra.Com's Answer #254417 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Use the distance formula,
\n" ); document.write( "\"D=sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29\"
\n" ); document.write( "\"D=sqrt%28%285-%28-1%29%29%5E2%2B%285-%28-3%29%29%5E2%29\"
\n" ); document.write( "\"D=sqrt%28%285%2B1%29%5E2%2B%285%2B3%29%5E2%29\"
\n" ); document.write( "\"D=sqrt%28%286%29%5E2%2B%288%29%5E2%29\"
\n" ); document.write( "Finish the calculation to get the distance.
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\n" ); document.write( "Now find the slope using the two points.
\n" ); document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=8%2F6=4%2F3\"
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals.
\n" ); document.write( "\"m%5B1%5D%2Am%5B2%5D=-1\"
\n" ); document.write( "\"%284%2F3%29%2Am2=-1\"
\n" ); document.write( "\"m%5B2%5D=-3%2F4\"
\n" ); document.write( "Now you have the slope of the perpendicular bisector, you just need the midpoint of the first line.
\n" ); document.write( "Use the midpoint formula,
\n" ); document.write( "\"x%5Bm%5D=%28x%5B1%5D%2Bx%5B2%5D%29%2F2=%28-1%2B5%29%2F2=4%2F2=2\"
\n" ); document.write( "\"y%5Bm%5D=%28y%5B1%5D%2By%5B2%5D%29%2F2=%28-3%2B5%29%2F2=2%2F2=1\"
\n" ); document.write( "Now you have the slope and a point for the perpendicular bisector, use the point slope form of a line,
\n" ); document.write( "\"y-y%5Bp%5D=m%28x-x%5Bp%5D%29\"
\n" ); document.write( "\"y-1=-%283%2F4%29%28x-2%29\"
\n" ); document.write( "\"y-1=-%283%2F4%29x%2B3%2F2\"
\n" ); document.write( "\"y=-%283%2F4%29x%2B3%2F2%2B2%2F2\"
\n" ); document.write( "\"highlight%28y=-%284%2F3%29x%2B5%2F2%29\"
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