document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63793>Question 63793</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line through the points (-2, 1) and (1, -4).  Write the equation in standard form with only integers.\r<BR>\n" );
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document.write( "Please explain how this problem was solved.\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44688 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=44688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line through the points (-2, 1) and (1, -4). Write the equation in standard form with only integers. <BR>\n" );
document.write( "Please explain how this problem was solved.<BR>\n" );
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document.write( "First, find the slope (m) using the slope formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2+-+y1%29%2F%28x2+-+x1%29 ALIGN=MIDDLE  ALT=\"%28y2+-+y1%29%2F%28x2+-+x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "In your problem x1 = -2; y1 = 1; x2 = 1; y2 = -4); so we have:<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4+-+1%29%2F%281+-+%28-2%29%29 ALIGN=MIDDLE  ALT=\"%28-4+-+1%29%2F%281+-+%28-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4+-+1%29%2F%281+%2B+2%29 ALIGN=MIDDLE  ALT=\"%28-4+-+1%29%2F%281+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%2F%283%29%29 ALIGN=MIDDLE  ALT=\"%28-5%29%2F%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "slope (m) = -(5/3): <BR>\n" );
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document.write( "Use the point/slope equation: y - y1 = m(x-x1)<BR>\n" );
document.write( "y - 1 = (-5/3(x - (-2))<BR>\n" );
document.write( "y - 1 = (-5/3)(x + 2)<BR>\n" );
document.write( "y - 1 = (-5/3)x - (10/3)<BR>\n" );
document.write( "y = (-5/3)x - (10/3) + 1<BR>\n" );
document.write( "y = (-5/3)x - (10/3) + (3/3)<BR>\n" );
document.write( "y = (-5/3)x - (7/3)<BR>\n" );
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document.write( "Get rid of these annoying decimals, mult eq by 3<BR>\n" );
document.write( "3y = -5x - 7 <BR>\n" );
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document.write( "They want it in the standard form: ax + by = c, add 5x to both sides<BR>\n" );
document.write( "5x + 3y = -7<BR>\n" );
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document.write( "Check using x = -2, y = 1 as given in the original problem:<BR>\n" );
document.write( "5(-2) + 3(1) = <BR>\n" );
document.write( "-10 + 3 = -7<BR>\n" );
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document.write( "Could you follow this OK??<BR>\n" );
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