document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=880836>Question 880836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the normal to y=(2x-1)(3x+5) at the point (1,8). Give your answer in the form ax+by+c=0,where a,b and c are integers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531922 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=531922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the derivative of the function at that point.<BR>\n" );
document.write( "The value of the derivative is the slope of the tangent line at that point.<BR>\n" );
document.write( "Tangent and normal lines are perpendicular to each other. <BR>\n" );
document.write( "Determine the slope of the normal line from the tangent line slope. <BR>\n" );
document.write( "Use the point slope form to determine the equation of the normal line.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=6x%5E2%2B7x-5 ALIGN=MIDDLE  ALT=\"y=6x%5E2%2B7x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dy%2Fdx=12x%2B7 ALIGN=MIDDLE  ALT=\"dy%2Fdx=12x%2B7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
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document.write( "Perpendicular lines have slopes that are negative reciprocals,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2Am%5BN%5D=-1 ALIGN=MIDDLE  ALT=\"19%2Am%5BN%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5BN%5D=-1%2F19 ALIGN=MIDDLE  ALT=\"m%5BN%5D=-1%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282-1%29%283%2B5%29=8 ALIGN=MIDDLE  ALT=\"y=%282-1%29%283%2B5%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-8=-%281%2F19%29%28x-1%29 ALIGN=MIDDLE  ALT=\"y-8=-%281%2F19%29%28x-1%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-8=-%281%2F19%29x%2B1%2F19 ALIGN=MIDDLE  ALT=\"y-8=-%281%2F19%29x%2B1%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-8=-%281%2F19%29x%2B1%2F19 ALIGN=MIDDLE  ALT=\"y-8=-%281%2F19%29x%2B1%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F19%29x%2B1%2F19%2B152%2F19 ALIGN=MIDDLE  ALT=\"y=-%281%2F19%29x%2B1%2F19%2B152%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F19%29x%2B153%2F19 ALIGN=MIDDLE  ALT=\"y=-%281%2F19%29x%2B153%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19y=-x%2B153 ALIGN=MIDDLE  ALT=\"19y=-x%2B153\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " </SPAN>\n" );
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