document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611914>Question 611914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for an ellipse with vertices at (-2,-1) and (2,-7) and co-vertices at (-4,3) and (0,3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385192 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=385192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for an ellipse with vertices at (-2,-1) and (2,-7) and co-vertices at (-4,3) and (0,3)<BR>\n" );
document.write( "This is an ellipse with vertical major axis.<BR>\n" );
document.write( "Its standard form of equation: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "y-coordinate of center=-4 (midpoint between -1 and -7)<BR>\n" );
document.write( "x-coordinate of center=-2 (midpoint between 0 and -4<BR>\n" );
document.write( "center:(-2,-4)<BR>\n" );
document.write( "length of vertical major axis=6,(-1 to -7)=2a<BR>\n" );
document.write( "a=3<BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "..<BR>\n" );
document.write( "length of minor axis=4,(-4 to 0)=2a<BR>\n" );
document.write( "b=2<BR>\n" );
document.write( "b^2=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( " (x+2)^2/4+(y+4)^2/9=1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );