document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885044>Question 885044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Directions: Find an equation of the line passing through each pair of points.  Write the equation in the form Ax+By=C.\r<BR>\n" );
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document.write( "Problem:  (2,3) and (-1,-1)\r<BR>\n" );
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document.write( "I got this far then I got lost:    (2,3) and (-1, -1)<BR>\n" );
document.write( "                                   M= -1-3/-1-2 = 4/3<BR>\n" );
document.write( "                                   y-3=4/3(x-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #534863 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=534863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The strategy you chose appears a good one:  Find slope and use point-slope equation form.\r<BR>\n" );
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document.write( "m for slope.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%283-%28-1%29%29%2F%282-%28-1%29%29=%283%2B1%29%2F%282%2B1%29 ALIGN=MIDDLE  ALT=\"m=%283-%28-1%29%29%2F%282-%28-1%29%29=%283%2B1%29%2F%282%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=4%2F3 ALIGN=MIDDLE  ALT=\"m=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Pick either point and fill into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-v=m%28x-u%29 ALIGN=MIDDLE  ALT=\"y-v=m%28x-u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for whichever point (u,v) you want.  You picked (2,3).<BR>\n" );
document.write( "Point-Slope Form:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y-3=%284%2F3%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y-3=%284%2F3%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Why did you not continue?  You want the equation in standard form.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-v=m%28x-u%29 ALIGN=MIDDLE  ALT=\"y-v=m%28x-u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-v=mx-mu ALIGN=MIDDLE  ALT=\"y-v=mx-mu\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mx-mu=y-v ALIGN=MIDDLE  ALT=\"mx-mu=y-v\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mx-y-mu=-v ALIGN=MIDDLE  ALT=\"mx-y-mu=-v\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mx-y=mu-v ALIGN=MIDDLE  ALT=\"mx-y=mu-v\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a generalization of standard form.  The number properties applied are assumed understood.<BR>\n" );
document.write( "Notice the left member is an expression linear in x and y, and the right member expression is a constant.  The slope is a rational number and you may need to use multiplicative inverse property to make the equation in its simplest form. </SPAN>\n" );
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