document.write( "Question 1142125: Analytic Geometry For JKL, find an equation for a) the median from vertex J b) the median from vertex K c) the right bisector of side JL. J(1,4), K(-3,-1), and L(3,-4). \n" ); document.write( "

Algebra.Com's Answer #762800 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "(a)  The median from vertex J goes through the point J= (1,4)  and the midpoint of KL, which (midpoint) is (0,-2.5).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     So, the slope of this median is  m =  =  = 6.5.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, the equation of this median from vertex J is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         y-4 = 6.5*(x-1).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     You can transform this equation to any equivalent form you want / (you need).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  To solve (b),  do it similarly, having my solution to (a) as a TEMPLATE before your eyes.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(c)  The segment JL has the slope\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     m =  =  = -4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Hence, the perpendicular line to segment JL has the slope of 0.25.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    The midpoint of the segment JL is the point (2,0).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Therefore, the equation of the right bisector to side JL is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        y = 0.25*(x-2).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     You can transform this equation to any equivalent form you want / (you need).\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Answered, explained and solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "As a bonus for you, consider the lessons in this site\r
\n" ); document.write( "\n" ); document.write( "    - Find the slope of a straight line in a coordinate plane passing through two given points\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line having a given slope and passing through a given point\r
\n" ); document.write( "\n" ); document.write( "    - Solving problems related to the slope of a straight line\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line in a coordinate plane passing through two given points\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line parallel to a given line and passing through a given point\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line perpendicular to a given line and passing through a given point \r
\n" ); document.write( "\n" ); document.write( "that are closely related to your problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You have a happy opportunity to learn the subject from good sources.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );