document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994012>Question 994012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line containing the given pair of points.  (-2,-1)(-9,-4)<BR>\n" );
document.write( "The equation of the line in slope-intercept form is y= ?\r<BR>\n" );
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document.write( "Please help me solve this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #613210 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=613210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you have two points, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28x%5BA%5D%2Cy%5BA%5D%29 ALIGN=MIDDLE  ALT=\"A%28x%5BA%5D%2Cy%5BA%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%28x%5BB%5D%2Cy%5BB%5D%29 ALIGN=MIDDLE  ALT=\"B%28x%5BB%5D%2Cy%5BB%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "you can find the slope, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > , of the line connecting them as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y%5BA%5D-y%5BB%5D%29%2F%28x%5BA%5D-x%5BB%5D%29 ALIGN=MIDDLE  ALT=\"m=%28y%5BA%5D-y%5BB%5D%29%2F%28x%5BA%5D-x%5BB%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "If you have the slope, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > , of a line and a point, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%5BC%5D%2Cy%5BC%5D%29 ALIGN=MIDDLE  ALT=\"C%28x%5BC%5D%2Cy%5BC%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , on that line<BR>\n" );
document.write( "(point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%5BC%5D%2Cy%5BC%5D%29 ALIGN=MIDDLE  ALT=\"C%28x%5BC%5D%2Cy%5BC%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28x%5BA%5D%2Cy%5BA%5D%29 ALIGN=MIDDLE  ALT=\"A%28x%5BA%5D%2Cy%5BA%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%28x%5BB%5D%2Cy%5BB%5D%29 ALIGN=MIDDLE  ALT=\"B%28x%5BB%5D%2Cy%5BB%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ),<BR>\n" );
document.write( "you can write the equation of that line in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28point-slope%29 ALIGN=MIDDLE  ALT=\"highlight%28point-slope%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > form as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5BC%5D=m%28x-x%5BC%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5BC%5D=m%28x-x%5BC%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "If you have the equation of that line in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28point-slope%29 ALIGN=MIDDLE  ALT=\"highlight%28point-slope%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > form,<BR>\n" );
document.write( "you can use algebra to transform that equation into an equivalent equation<BR>\n" );
document.write( "for that line in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28slope-intercept%29 ALIGN=MIDDLE  ALT=\"highlight%28slope-intercept%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > form by solving for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "IN THIS CASE:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28x%5BA%5D%2Cy%5BA%5D%29=A%28-2%2C-1%29 ALIGN=MIDDLE  ALT=\"A%28x%5BA%5D%2Cy%5BA%5D%29=A%28-2%2C-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%28x%5BB%5D%2Cy%5BB%5D%29=B%28-9%2C-4%29 ALIGN=MIDDLE  ALT=\"B%28x%5BB%5D%2Cy%5BB%5D%29=B%28-9%2C-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5BA%5D=-2%2Cy%5BA%5D=-1%2Cx%5BB%5D=-9%2Cy%5BB%5D=-4%29 ALIGN=MIDDLE  ALT=\"system%28x%5BA%5D=-2%2Cy%5BA%5D=-1%2Cx%5BB%5D=-9%2Cy%5BB%5D=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-1-%28-4%29%29%2F%28-2-%28-9%29%29=%28-1%2B4%29%2F%28-2%2B9%29=3%2F7 ALIGN=MIDDLE  ALT=\"m=%28-1-%28-4%29%29%2F%28-2-%28-9%29%29=%28-1%2B4%29%2F%28-2%2B9%29=3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "An equation for the line in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28point-slope%29 ALIGN=MIDDLE  ALT=\"highlight%28point-slope%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > form,<BR>\n" );
document.write( "using point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28x%5BC%5D%2Cy%5BC%5D%29=C%28-2%2C-1%29 ALIGN=MIDDLE  ALT=\"C%28x%5BC%5D%2Cy%5BC%5D%29=C%28-2%2C-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-1%29=%283%2F7%29%28x-%28-2%29%29 ALIGN=MIDDLE  ALT=\"y-%28-1%29=%283%2F7%29%28x-%28-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B1=%283%2F7%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"y%2B1=%283%2F7%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Solving for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B1=%283%2F7%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"y%2B1=%283%2F7%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B1=%283%2F7%29x%2B6%2F7 ALIGN=MIDDLE  ALT=\"y%2B1=%283%2F7%29x%2B6%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F7%29x%2B6%2F7-1 ALIGN=MIDDLE  ALT=\"y=%283%2F7%29x%2B6%2F7-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%283%2F7%29x-1%2F7%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%283%2F7%29x-1%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "gives you the one and only equation in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28slope-intercept%29 ALIGN=MIDDLE  ALT=\"highlight%28slope-intercept%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > form for that line. </SPAN>\n" );
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