document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200188>Question 1200188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the set of values of the constant k for which the line y = 4x + k does not<BR>\n" );
document.write( "intersect the curve y = x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834237 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=834237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the set of values of the constant k for which the line y = 4x + k does not<BR>\n" );
document.write( "intersect the curve y = x^2<BR>\n" );
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document.write( "The slope, m, of y = 4x + k is 4.<BR>\n" );
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document.write( "Find the point on y = x^2 where the slope is 4:<BR>\n" );
document.write( "y' = 2x is the slope at any point on y = x^2<BR>\n" );
document.write( "2x= 4 at x = 2<BR>\n" );
document.write( "The point (2,4) is where the line is tangent to the parabola.<BR>\n" );
document.write( "---> k < -4 </SPAN>\n" );
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