document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169661>Question 169661</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780471266198/algebrahomeworkh>Wiley: Fuctions Modeling Change</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line through the y-intercept of y= x^4-8x^5-9+8x^2 and the x-intercept of y= 11x-4 .<BR>\n" );
document.write( "Write the coefficients in the form of a simple fraction, if it is necessary.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125036 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=125036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The y intercept occurs when x=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%280%29=+0%5E4-8%2A0%5E5-9%2B8%280%29%5E2 ALIGN=MIDDLE  ALT=\"y%280%29=+0%5E4-8%2A0%5E5-9%2B8%280%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%280%29=0-0-9%2B0 ALIGN=MIDDLE  ALT=\"y%280%29=0-0-9%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%280%29=-9 ALIGN=MIDDLE  ALT=\"y%280%29=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First point (0,-9).<BR>\n" );
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document.write( "The x intercept occurs when y=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+11x-4 ALIGN=MIDDLE  ALT=\"y=+11x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+11x-4 ALIGN=MIDDLE  ALT=\"0=+11x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11x=4 ALIGN=MIDDLE  ALT=\"11x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2F11 ALIGN=MIDDLE  ALT=\"x=4%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Second point (4/11,0).<BR>\n" );
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document.write( "First find the slope,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%280-%28-9%29%29%2F%284%2F11-0%29 ALIGN=MIDDLE  ALT=\"m=%280-%28-9%29%29%2F%284%2F11-0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%289%29%2F%284%2F11%29 ALIGN=MIDDLE  ALT=\"m=%289%29%2F%284%2F11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=99%2F4 ALIGN=MIDDLE  ALT=\"m=99%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then use the point-slope form of a line,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5Bp%5D=m%28x-x%5Bp%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5Bp%5D=m%28x-x%5Bp%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can use either point.<BR>\n" );
document.write( "We'll use (0,-9).\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-9%29=%2899%2F4%29%28x-0%29 ALIGN=MIDDLE  ALT=\"y-%28-9%29=%2899%2F4%29%28x-0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2899%2F4%29x-9 ALIGN=MIDDLE  ALT=\"y=%2899%2F4%29x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Graph all of the equations to verify the solution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-2%2C+2%2C+-10%2C+10%2C+x%5E4-8x%5E5-9%2B8x%5E2%2C+11x-4%2C%2899%2F4%29x-9%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Red graph is the 4th order polynomial.<BR>\n" );
document.write( "Green line is the line.<BR>\n" );
document.write( "Blue line is the line from the intercepts of the other two graphs. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );