document.write( "Question 455941: Find the other endpoint of a line segment with the given midpoint and one endpoint.
\n" ); document.write( "midpoint (11/2,17/2) and the endpoint is (2,9) \n" ); document.write( "

Algebra.Com's Answer #312993 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Let's plot the given two points.  Let's call the left \r\n" );
document.write( "end point L(2,9), and the midpoint M(11/2,17/2):\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now let's connect them:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now let's extend it so that M looks like it is\r\n" );
document.write( "the midpoint, and we'll label the unknown right \r\n" );
document.write( "endpoint and label it with unknown coordinates R(?,?).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let's let the coordinates of the unknown right endpoint\r\n" );
document.write( "R(?,?) be (a,b) so we have the point R(a,b)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we use the midpoint formula and get the two equations:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplifying each one by multiplying by 2, we get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "And then we have:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the right endpoint is R(a,b) = R(9,8)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );