document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=706274>Question 706274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3.\r<BR>\n" );
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document.write( "a. 3x - y - 7 = 0<BR>\n" );
document.write( "b. x - 3y + 7 = 0<BR>\n" );
document.write( "c. x - 3y - 7 = 0\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435126 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=435126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you know point slope form, use it to make an equation for the line and then use properties of real numbers (\"algebra steps\") to put into slope intercept form (which is general form).\r<BR>\n" );
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document.write( "From formula for slope, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y-y%5B0%5D%29%2F%28x-x%5B0%5D%29 ALIGN=MIDDLE  ALT=\"m=%28y-y%5B0%5D%29%2F%28x-x%5B0%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Clear the fraction,.... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B0%5D=m%28x-x%5B0%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5B0%5D=m%28x-x%5B0%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is point-slope form for a line.\r<BR>\n" );
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document.write( "Further, add y[0] to both sides:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=m%28x-x%5B0%5D%29%2By%5B0%5D ALIGN=MIDDLE  ALT=\"y=m%28x-x%5B0%5D%29%2By%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "carry out some of the other arithmetic,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx-mx%5B0%5D%2By%5B0%5D ALIGN=MIDDLE  ALT=\"y=mx-mx%5B0%5D%2By%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2B%28y%5B0%5D-mx%5B0%5D%29 ALIGN=MIDDLE  ALT=\"y=mx%2B%28y%5B0%5D-mx%5B0%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  (Notice how I've kept all this in symbols so far.)\r<BR>\n" );
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document.write( "NOW, just substitute your given point and slope, and do any further computation to simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F3%29x%2B%28-2-%281%2F3%29%2A1%29 ALIGN=MIDDLE  ALT=\"y=%281%2F3%29x%2B%28-2-%281%2F3%29%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( " and you get<BR>\n" );
document.write( "Final Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%281%2F3%29x-%287%2F3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%281%2F3%29x-%287%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "[You would be looking for choice #c.  But none of those choices appear as \"general form\" for a line; they appear as a variation on standard form.]   </SPAN>\n" );
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