document.write( "Question 1050556: Triangle DEF has vertices D (3, 4), E (4, -3), and F (-4, -1).\r
\n" ); document.write( "\n" ); document.write( "The midpoint of line segment EF̅̅̅̅ is (0, −2)\r
\n" ); document.write( "\n" ); document.write( "Find the equation of the perpendicular bisector of edge EF̅̅̅̅.
\n" ); document.write( "

Algebra.Com's Answer #666275 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Find the slope of line EF.
\n" ); document.write( "Slope,
\n" ); document.write( "\"m=%28-3-%28-1%29%29%2F%284-%28-4%29%29=%28-2%29%2F8=-1%2F4\"
\n" ); document.write( "A perpendicular line would have a slope that is the negative reciprocal,
\n" ); document.write( "\"-%281%2F4%29%2Am%5B2%5D=-1\"
\n" ); document.write( "\"m%5B2%5D=4\"
\n" ); document.write( "So then using the point-slope form of the line with (0,-2),
\n" ); document.write( "\"y-%28-2%29=4%28x-0%29\"
\n" ); document.write( "\"y%2B2=4x\"
\n" ); document.write( "\"y=4x-2\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " .
\n" ); document.write( "
\n" );