document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=392234>Question 392234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I write an equation pASSING THROUGH TWO GIVEN POINTS IN SLOPE-INTERCEPT FORM? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278421 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=278421\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  example: \r<BR>\n" );
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document.write( "Find the equation of the line that passes through the points (–2, 4) and (1, 2).\r<BR>\n" );
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document.write( "      Well, if I have two points on a straight line, I can always find the slope; that's what the slope formula is for.\r<BR>\n" );
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document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope+m+=+-2%2F3 ALIGN=MIDDLE  ALT=\"slope+m+=+-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "      Now I have the slope and two points. I know I can find the equation (by \r<BR>\n" );
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document.write( "solving first for \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\") if I have a point and the slope. So I need to pick \r<BR>\n" );
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document.write( "one of the points (it doesn't matter which one), and use it to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Using the point (–2, 4), I get:\r<BR>\n" );
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document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   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+=+-%282%2F3%29%28-2%29+%2B+b ALIGN=MIDDLE  ALT=\"y+=+-%282%2F3%29%28-2%29+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "           <BR>\n" );
document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+4%2F3+%2B+b ALIGN=MIDDLE  ALT=\"4+=+4%2F3+%2B+b\"   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=4+%96+4%2F3+=+b ALIGN=MIDDLE  ALT=\"4+%96+4%2F3+=+b\"   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=12%2F3+%96+4%2F3+=+b ALIGN=MIDDLE  ALT=\"12%2F3+%96+4%2F3+=+b\"   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=+b+=+8%2F3 ALIGN=MIDDLE  ALT=\"+b+=+8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "      ...so  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%282%2F3%29x+%2B+8%2F3 ALIGN=MIDDLE  ALT=\"y+=+-%282%2F3%29x+%2B+8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "      On the other hand, if I use the point (1, 2), I get:\r<BR>\n" );
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document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   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=2+=+-%282%2F3%29%281%29+%2B+b ALIGN=MIDDLE  ALT=\"2+=+-%282%2F3%29%281%29+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "          <BR>\n" );
document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+-%282%2F3%29+%2B+b ALIGN=MIDDLE  ALT=\"2+=+-%282%2F3%29+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          \r<BR>\n" );
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document.write( "           <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%2B+2%2F3+=+b ALIGN=MIDDLE  ALT=\"+2+%2B+2%2F3+=+b\"   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=+6%2F3+%2B+2%2F3+=+b ALIGN=MIDDLE  ALT=\"+6%2F3+%2B+2%2F3+=+b\"   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=+b+=+8%2F3 ALIGN=MIDDLE  ALT=\"+b+=+8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "      So it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=doesn%27t ALIGN=MIDDLE  ALT=\"doesn%27t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+matter ALIGN=MIDDLE  ALT=\"+matter\"   DISABLED_style= \"max-width:90%; height:auto;\" > which point I choose. Either way, the answer is the same:\r<BR>\n" );
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document.write( "         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%282%2F3%29x+%2B+8%2F3 ALIGN=MIDDLE  ALT=\"y+=+-%282%2F3%29x+%2B+8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "           \r<BR>\n" );
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document.write( "As you can see, once you have the slope, it doesn't matter which point you use in order to find the line equation. The answer will work out the same either way.\r<BR>\n" );
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document.write( "in general, we have\r<BR>\n" );
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document.write( "the points (x1, y1) and (x2, y2)\r<BR>\n" );
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document.write( " slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y1-y2%29%2F%28x1-x2%29 ALIGN=MIDDLE  ALT=\"m+=+%28y1-y2%29%2F%28x1-x2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >............ </SPAN>\n" );
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