document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234418>Question 234418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to find an equation of a line that is intercepting the two parabolas? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172920 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You find any point on one of the paraboles and you find any point on the other parabola and you create a line using those two points.\r<BR>\n" );
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document.write( "If the points are (x1,y1) and (x2,y2), then the equation of the line would be:\r<BR>\n" );
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document.write( "y = mx + b where:\r<BR>\n" );
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document.write( "m is the slope = (y2-y1)/(x2-x1)\r<BR>\n" );
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document.write( "b is the y-intercept.\r<BR>\n" );
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document.write( "To find b, replace y with y1, and replace x with x1 to get:\r<BR>\n" );
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document.write( "y1 = m*x1 + b and solve for b.\r<BR>\n" );
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document.write( "This is after you found m, of course.\r<BR>\n" );
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document.write( "Example:\r<BR>\n" );
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document.write( "m = 5<BR>\n" );
document.write( "y1 = 6<BR>\n" );
document.write( "x1 = 3\r<BR>\n" );
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document.write( "To find b, you replace m with 5, y with 6, x with 3, to get:\r<BR>\n" );
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document.write( "y = mx + b becomes:\r<BR>\n" );
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document.write( "6 = 5*3 + b and you solve for b.\r<BR>\n" );
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document.write( "The line will intersect both parabolas because it was created from a point on both parabolas.\r<BR>\n" );
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