document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178952>Question 1178952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> https://gyazo.com/476623f75a5bf00a7c1a4802c602403e </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808426 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=808426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283x%5E2-4x%29%2F%282x%2B1%29 ALIGN=MIDDLE  ALT=\"y=%283x%5E2-4x%29%2F%282x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  tangent 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;\" >\r<BR>\n" );
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document.write( "first find a slope and tangent point\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%29+=+%286x%5E2+%2B+6+x+-+4%29%2F%282+x+%2B+1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%29+=+%286x%5E2+%2B+6+x+-+4%29%2F%282+x+%2B+1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "substitute <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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29+=%286%28-1%29%5E2+%2B+6+%28-1%29+-+4%29%2F%282+%28-1%29+%2B+1%29%5E2 ALIGN=MIDDLE  ALT=\"%28-1%29+=%286%28-1%29%5E2+%2B+6+%28-1%29+-+4%29%2F%282+%28-1%29+%2B+1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >'<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29+=+-4 ALIGN=MIDDLE  ALT=\"%28-1%29+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >->Note this only tells us the slope of the line, not the equation for the line itself.\r<BR>\n" );
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document.write( "since the line is tangent to the function 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;\" >, by finding the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >-coordinate we would possess a set of coordinates and a slope, allowing us to use point-slope form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2A%28-1%29%5E2-4%2A%28-1%29%29%2F%282%2A%28-1%29%2B1%29+=-7 ALIGN=MIDDLE  ALT=\"y=%283%2A%28-1%29%5E2-4%2A%28-1%29%29%2F%282%2A%28-1%29%2B1%29+=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "tangent point is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7 ALIGN=MIDDLE  ALT=\"-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and slope is<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=+-4 ALIGN=MIDDLE  ALT=\"m=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use point-slope form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B1%5D=m%28x-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5B1%5D=m%28x-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-7%29=-4%28x-%28-1%29%29 ALIGN=MIDDLE  ALT=\"y-%28-7%29=-4%28x-%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B7=-4%28x%2B1%29 ALIGN=MIDDLE  ALT=\"y%2B7=-4%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x-4-7 ALIGN=MIDDLE  ALT=\"y=-4x-4-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4x-11 ALIGN=MIDDLE  ALT=\"y=-4x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing+%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Acircle%28-1%2C-7%2C.12%29%2Clocate%28-1%2C-7%2Cp%28-1%2C-7%29%29%2C%0D%0A%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C%283x%5E2-4x%29%2F%282x%2B1%29%2C+-4x-11%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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