document.write( "Question 1071534: Find the symmetric point of P (1,1) according to the straight r: x-2y-4 = 0 \n" ); document.write( "

Algebra.Com's Answer #686561 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2y=x-4\"$
\n" ); document.write( " $\"y=x%2F2-2\"$
\n" ); document.write( "The line perpendicular to this line going through (1,1) is,
\n" ); document.write( " $\"y-1=-2%28x-1%29\"$
\n" ); document.write( " $\"y-1=-2x%2B2\"$
\n" ); document.write( " $\"y=-2x%2B3\"$
\n" ); document.write( "Find the intersection of those two lines,
\n" ); document.write( " $\"-2x%2B3=x%2F2-2\"$
\n" ); document.write( " $\"-4x%2B6=x-4\"$
\n" ); document.write( " $\"-5x=-10\"$
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"y=2%2F2-2\"$
\n" ); document.write( " $\"y=1-2\"$
\n" ); document.write( " $\"y=-1\"$
\n" ); document.write( "(2,-1)
\n" ); document.write( "So distance from (1,1) to (2,-1) is the same as the distance from (2,-1) to the symmetric point,
\n" ); document.write( "x: $\"2%2B%282-1%29=2%2B1=3\"$
\n" ); document.write( "y: $\"-1%2B%28-1-1%29=-1-2=-3\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );