document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214006>Question 214006</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( "B (5,7)<BR>\n" );
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document.write( "M (-1,0)<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 #161651 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=161651\">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)\r<BR>\n" );
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document.write( "B (5,7)<BR>\n" );
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document.write( "M (-1,0)<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=-1=%28x%2B5%29%2F2 ALIGN=MIDDLE  ALT=\"-1=%28x%2B5%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28y%2B7%29%2F2 ALIGN=MIDDLE  ALT=\"0=%28y%2B7%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=-2=x%2B5 ALIGN=MIDDLE  ALT=\"-2=x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=y%2B7 ALIGN=MIDDLE  ALT=\"0=y%2B7\"   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=-7 ALIGN=MIDDLE  ALT=\"x=-7\"   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 (-7,-7)\r<BR>\n" );
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document.write( "As a check between the two endpoints (-7,-7) and (5,7), 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=%28-7%2B5%29%2F2=-1 ALIGN=MIDDLE  ALT=\"%28-7%2B5%29%2F2=-1\"   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%2B7%29%2F2=0 ALIGN=MIDDLE  ALT=\"%28-7%2B7%29%2F2=0\"   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 (-1,0) 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 http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit 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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