document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214019>Question 214019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are given an endpoint and the midpoint of a line segment. Find the coordinates of the other endpoint. Each midpoint is denoted by M(x, y)<BR>\n" );
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document.write( "C(-4,-5)<BR>\n" );
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document.write( "M(3,-6)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161664 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are given an endpoint and the midpoint of a line segment. Find the coordinates of the other endpoint. Each midpoint is denoted by M(x, y)<BR>\n" );
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document.write( "C(-4,-5)\r<BR>\n" );
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document.write( "M(3,-6)\r<BR>\n" );
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document.write( "Let (x,y) be the other endpoint.  Then for this example the midpoint is calculated by averaging the x and y coordinates of the endpoints.  That is,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=%28x%2B%28-4%29%29%2F2 ALIGN=MIDDLE  ALT=\"3=%28x%2B%28-4%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6=%28y%2B%28-5%29%29%2F2 ALIGN=MIDDLE  ALT=\"-6=%28y%2B%28-5%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=x-4 ALIGN=MIDDLE  ALT=\"6=x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12=y-5 ALIGN=MIDDLE  ALT=\"-12=y-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10 ALIGN=MIDDLE  ALT=\"x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-7 ALIGN=MIDDLE  ALT=\"y=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the other endpoint is (10,-7)\r<BR>\n" );
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document.write( "As a check between the two endpoints (10,-7) and (-4,-5), let's calculate the midpoint.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2B%28-4%29%29%2F2=3 ALIGN=MIDDLE  ALT=\"%2810%2B%28-4%29%29%2F2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the x-coordinate for the midpoint.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-7%2B%28-5%29%29%2F2=-6 ALIGN=MIDDLE  ALT=\"%28-7%2B%28-5%29%29%2F2=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the y-coordinate for the midpoint.\r<BR>\n" );
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document.write( "So the midpoint is (3,-6) which is same as before.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit \r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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