document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204632>Question 1204632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation for the ellipse in standard form and general form.\r<BR>\n" );
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document.write( "center (3,-2), passing through (-4,-2), (10,-2), (3,1), and (3,-5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841007 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841007\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The center is given as (3,-2).<br><BR>\n" );
document.write( "Two points on the ellipse are (-4,-2) and (10,-2); each of those is 7 units horizontally from the center.<br><BR>\n" );
document.write( "Two other points are (3,1) and (3,-5); each of those is 3 units vertically from the center.<br><BR>\n" );
document.write( "So the ellipse has a horizontal semi-major axis of length 7 and a vertical semi-minor axis of length 3.<br><BR>\n" );
document.write( "Given that information, the equation in standard form is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2F7%5E2%2B%28y%2B2%29%5E2%2F3%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F7%5E2%2B%28y%2B2%29%5E2%2F3%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2F49%2B%28y%2B2%29%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F49%2B%28y%2B2%29%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Convert to general form by multiplying by (9*49=441), expanding the expressions in parentheses, and simplifying.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x-3%29%5E2%2B49%28y%2B2%29%5E2=441 ALIGN=MIDDLE  ALT=\"9%28x-3%29%5E2%2B49%28y%2B2%29%5E2=441\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x%5E2-6x%2B9%29%2B49%28y%5E2%2B4y%2B4%29=441 ALIGN=MIDDLE  ALT=\"9%28x%5E2-6x%2B9%29%2B49%28y%5E2%2B4y%2B4%29=441\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2-54x%2B81%2B49y%5E2%2B196y%2B196=441 ALIGN=MIDDLE  ALT=\"9x%5E2-54x%2B81%2B49y%5E2%2B196y%2B196=441\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B49y%5E2-54x%2B196y=164 ALIGN=MIDDLE  ALT=\"9x%5E2%2B49y%5E2-54x%2B196y=164\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B49y%5E2-54x%2B196y-164=0 ALIGN=MIDDLE  ALT=\"9x%5E2%2B49y%5E2-54x%2B196y-164=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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