document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213979>Question 213979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the coodinates of the missing endpoint given that S is the midpoint of RT.\r<BR>\n" );
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document.write( "T(-4,3),S(-1,5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161625 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=161625\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the coordinates of the missing endpoint given that S is the midpoint of RT.\r<BR>\n" );
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document.write( "T(-4,3),S(-1,5)\r<BR>\n" );
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document.write( "Step 1.  Let (x,y) be the endpoint.   So the average of the x and y coordinates for the endpoints will be the midpoint.  The following steps will show this\r<BR>\n" );
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document.write( "Step 2.  The x-coordinate for the midpoint S is -1.  Then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=%28x%2B%28-4%29%29%2F2 ALIGN=MIDDLE  ALT=\"-1=%28x%2B%28-4%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=%28-1%29=%28x-4%29%2F2 ALIGN=MIDDLE  ALT=\"%28-1%29=%28x-4%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=%28-2%29=x-4 ALIGN=MIDDLE  ALT=\"%28-2%29=x-4\"   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=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 2.  The y-coordinate for the midpoint S is 5.  Then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=%28y%2B3%29%2F2 ALIGN=MIDDLE  ALT=\"5=%28y%2B3%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=5=%28y%2B3%29%2F2 ALIGN=MIDDLE  ALT=\"5=%28y%2B3%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=10=y%2B3 ALIGN=MIDDLE  ALT=\"10=y%2B3\"   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=y=7 ALIGN=MIDDLE  ALT=\"y=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 3.  ANSWER:  So the endpoint is (2,7) \r<BR>\n" );
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document.write( "Step 4.  As a check the other endpoint is (-4,3).  Then the midpoint is calculated as\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2B%28-4%29%29%2F2=-1 ALIGN=MIDDLE  ALT=\"%282%2B%28-4%29%29%2F2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > so the x-coordinate of the midpoint is -1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2B3%29%2F2=5 ALIGN=MIDDLE  ALT=\"%287%2B3%29%2F2=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > so the y-coordinate of the midpoint is 5\r<BR>\n" );
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document.write( "The midpoint is then (-1,5) which was given.  So it checks out!\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 on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And 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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