document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396635>Question 396635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "What about if I know some values for x and y and I want the function? Example: I want to build a curve, arc segment; and I know that when:<BR>\n" );
document.write( "x=1 y=2<BR>\n" );
document.write( "x=2 y=1<BR>\n" );
document.write( "We could say y = 3-x, but that isn't a curve.<BR>\n" );
document.write( "So, how do I get the curve?<BR>\n" );
document.write( "Thanks for the attention! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281321 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With only 2 points, you can put a unique straight line thru them.<BR>\n" );
document.write( "If it's any type of curve you have to specify what type curve.<BR>\n" );
document.write( "eg, if it's a circle and one point is the center, then that's sufficient.<BR>\n" );
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document.write( "But if it's 2 points on the circle, then an infinite # of circles can be made to pass thru them.<BR>\n" );
document.write( "The same for parabolas, hyperbolas, and all conic sections.<BR>\n" );
document.write( "If you have 3 points and the type of conic section, that's sufficient.<BR>\n" );
document.write( "If you have 5 points and know that it's a conic section, that's sufficient.<BR>\n" );
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document.write( "A general polynomial can be found to pass thru any number of points. </SPAN>\n" );
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