document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205639>Question 1205639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the slope-intercept equation of the line that contains the points (-4,-2) and (11,-14). Include the formulas used to complete the work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842571 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Let's find the slope.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C15%2C%22Given%22%2C%22points%3A%22%2C%22%28%22%2Cx%5B1%5D%2C%22%2C%22%2Cy%5B1%5D%2C%22%29+=+%22%2C%22%28-4%2C-2%29%22%2C%22and%22%2C%22%28%22%2Cx%5B2%5D%2C%22%2C%22%2Cy%5B2%5D%2C%22%29+=+%22%2C%22%2811%2C-14%29%22%29 ALIGN=MIDDLE   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=m+=+slope+=+rise%2Frun+=+matrix%281%2C3%2C%22change%22%2C%22in%22%2C%22y%22%29%2Fmatrix%281%2C3%2C%22change%22%2C%22in%22%2C%22x%22%29=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 ALIGN=MIDDLE   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=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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-14+-+%28-2%29%29%2F%2811+-+%28-4%29%29 ALIGN=MIDDLE  ALT=\"m+=+%28-14+-+%28-2%29%29%2F%2811+-+%28-4%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=m+=+%28-14+%2B+2%29%2F%2811+%2B+4%29 ALIGN=MIDDLE  ALT=\"m+=+%28-14+%2B+2%29%2F%2811+%2B+4%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=m+=+%28-12%29%2F%2815%29 ALIGN=MIDDLE  ALT=\"m+=+%28-12%29%2F%2815%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=m+=+-4%2F5 ALIGN=MIDDLE  ALT=\"m+=+-4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slope is m = -4/5.<BR>\n" );
document.write( "It will mean \"go down 4, then right 5\".\r<BR>\n" );
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document.write( "Now apply point-slope form.<BR>\n" );
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+-+%28-2%29+=+-expr%284%2F5%29%28x+-+%28-4%29%29 ALIGN=MIDDLE  ALT=\"y+-+%28-2%29+=+-expr%284%2F5%29%28x+-+%28-4%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+%2B2+=+-expr%284%2F5%29%28x+%2B4%29 ALIGN=MIDDLE  ALT=\"y+%2B2+=+-expr%284%2F5%29%28x+%2B4%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+%2B2+=+-expr%284%2F5%29x+-16%2F5 ALIGN=MIDDLE  ALT=\"y+%2B2+=+-expr%284%2F5%29x+-16%2F5\"   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+=+-expr%284%2F5%29x+-16%2F5-2 ALIGN=MIDDLE  ALT=\"y+=+-expr%284%2F5%29x+-16%2F5-2\"   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+=+-expr%284%2F5%29x+-16%2F5-10%2F5 ALIGN=MIDDLE  ALT=\"y+=+-expr%284%2F5%29x+-16%2F5-10%2F5\"   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+=+-expr%284%2F5%29x+%2B%28-16-10%29%2F5 ALIGN=MIDDLE  ALT=\"y+=+-expr%284%2F5%29x+%2B%28-16-10%29%2F5\"   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+=+-expr%284%2F5%29x+-26%2F5 ALIGN=MIDDLE  ALT=\"y+=+-expr%284%2F5%29x+-26%2F5\"   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+=+-0.8x+-+5.2 ALIGN=MIDDLE  ALT=\"y+=+-0.8x+-+5.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The result is in slope-intercept form (y = mx+b)<BR>\n" );
document.write( "m = -4/5 = -0.8 = slope<BR>\n" );
document.write( "b = -26/5 = -5.2 = y intercept\r<BR>\n" );
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document.write( "To verify, plug in x = -4 and you should get y = -2.<BR>\n" );
document.write( "Also, plug in x = 11 and you should get y = -14.<BR>\n" );
document.write( "I'll leave this verification scratch work for the student to do.<BR>\n" );
document.write( "Desmos and GeoGebra are recommended graphing tools to visually verify the answer.<BR>\n" );
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