document.write( "Question 1056266: Write the equation of the perpendicular bisector to the line segment with endpoints (-1, -3 ) ( 3, 3 ) \n" ); document.write( "

Algebra.Com's Answer #671466 by josmiceli(19441) $\"\"$ $\"About$

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( -1, -3 ) and ( 3, 3 )
\n" ); document.write( "The x-value of midpoint:
\n" ); document.write( " $\"+%28+-1+%2B+3+%29+%2F+2+=+1+\"$
\n" ); document.write( "The y-value of midpoint:
\n" ); document.write( " $\"+%28+3+-+3+%29+%2F+2+=+0+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "The midpoint is at ( 1, 0 )
\n" ); document.write( "-----------------------
\n" ); document.write( "The slope of this line segment is:
\n" ); document.write( " $\"+%28+3+-%28-3%29+%29+%2F+%28+3+-%28-1%29+%29+=+6%2F4+\"$
\n" ); document.write( " $\"+6%2F4+=+3%2F2+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "Any line perpendicular to this
\n" ); document.write( "segment will have slope
\n" ); document.write( " $\"+m+=+-1%2F%28+3%2F2%29+\"$
\n" ); document.write( " $\"+m+=+-2%2F3+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "Use point-slope formula
\n" ); document.write( " $\"+%28+y+-+0+%29+%2F+%28+x+-+1+%29+=+-2%2F3+\"$
\n" ); document.write( " $\"+y+=+%28-2%2F3%29%2A%28+x+-+1+%29+\"$
\n" ); document.write( " $\"+y+=+-%282%2F3%29%2Ax+%2B+2%2F3+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "does it go through ( 1, 0 ) ?
\n" ); document.write( " $\"+0+=+-%282%2F3%29%2A1+%2B+2%2F3+\"$
\n" ); document.write( " $\"+0+=+0+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );