document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685360>Question 685360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line through the y-intercept of y = x^4 – 3x^5 – 8 + x^2 and the x-intercept of y = 2x – 18.<BR>\n" );
document.write( "If anyone can explain how to do this that would be awesome! I'm so confused. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424413 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=424413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the y-intercept of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+x%5E4+%96+3x%5E5+%96+8+%2B+x%5E2+ ALIGN=MIDDLE  ALT=\"+y+=+x%5E4+%96+3x%5E5+%96+8+%2B+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Important rule:<BR>\n" );
document.write( "The y-intercept occurs where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+0+ ALIGN=MIDDLE  ALT=\"+x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > really is a function of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "there is only ONE y-intercept<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%280%29+=+0%5E4+%96+3%2A0%5E5+%96+8+%2B+0%5E2+ ALIGN=MIDDLE  ALT=\"+y%280%29+=+0%5E4+%96+3%2A0%5E5+%96+8+%2B+0%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+=+-8+ ALIGN=MIDDLE  ALT=\"+y%280%29+=+-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It is important to note that this intercept is<BR>\n" );
document.write( "the point (0,-8)<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Now find the x-intercept of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+2x+%96+18+ ALIGN=MIDDLE  ALT=\"+y+=+2x+%96+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The x-intercept occurs where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++y+=+0+ ALIGN=MIDDLE  ALT=\"++y+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+2x+-+18+ ALIGN=MIDDLE  ALT=\"+0+=+2x+-+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+18+ ALIGN=MIDDLE  ALT=\"+2x+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+9+ ALIGN=MIDDLE  ALT=\"+x+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the x-intercept. Note that a valid function <BR>\n" );
document.write( "can have MANY x-intercepts, but a straight line<BR>\n" );
document.write( "like this one has only ONE x-intercept.<BR>\n" );
document.write( "This intercept is at the point (9,0)<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Now you need to find the equation that goes<BR>\n" );
document.write( "through these points (0,-8) and (9,0)<BR>\n" );
document.write( "Use the general point-slope formula.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+%28-8%29+%29+%2F+%28+x+-+0+%29+=+%28+0+-%28-8%29+%29+%2F+%28+9+-+0%29+ ALIGN=MIDDLE  ALT=\"+%28+y+-+%28-8%29+%29+%2F+%28+x+-+0+%29+=+%28+0+-%28-8%29+%29+%2F+%28+9+-+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=+%28+y+%2B+8+%29+%2F+x+=+8+%2F+9+ ALIGN=MIDDLE  ALT=\"+%28+y+%2B+8+%29+%2F+x+=+8+%2F+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x+ ALIGN=MIDDLE  ALT=\"+9x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2A%28+y+%2B+8+%29+=+8x+ ALIGN=MIDDLE  ALT=\"+9%2A%28+y+%2B+8+%29+=+8x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9y+%2B+72+=+8x+ ALIGN=MIDDLE  ALT=\"+9y+%2B+72+=+8x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9y+=+8x+-+72+ ALIGN=MIDDLE  ALT=\"+9y+=+8x+-+72+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%288%2F9%29%2Ax+-+8+ ALIGN=MIDDLE  ALT=\"+y+=+%288%2F9%29%2Ax+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "Does it go through (0,-8) ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%288%2F9%29%2Ax+-+8+ ALIGN=MIDDLE  ALT=\"+y+=+%288%2F9%29%2Ax+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-8+=+%288%2F9%29%2A0+-+8+ ALIGN=MIDDLE  ALT=\"+-8+=+%288%2F9%29%2A0+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-8+=+-8+ ALIGN=MIDDLE  ALT=\"+-8+=+-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Does it go through (9,0) ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%288%2F9%29%2Ax+-+8+ ALIGN=MIDDLE  ALT=\"+y+=+%288%2F9%29%2Ax+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+%288%2F9%29%2A9+-+8+ ALIGN=MIDDLE  ALT=\"+0+=+%288%2F9%29%2A9+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+8+-+8+ ALIGN=MIDDLE  ALT=\"+0+=+8+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+0+ ALIGN=MIDDLE  ALT=\"+0+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );