document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127359>Question 127359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation in the form y=mx+b(where possible) for each line.<BR>\n" );
document.write( "through (2,-1), parallel to 3x-y=1<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 #93315 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lines are parallel if and only if their slopes are equal.  So the first step is to find the slope of the given line by putting the equation into slope intercept form, i.e. solve for y:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-y=1 ALIGN=MIDDLE  ALT=\"3x-y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add -3x to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y=-3x%2B1 ALIGN=MIDDLE  ALT=\"-y=-3x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply by -1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x-1 ALIGN=MIDDLE  ALT=\"y=3x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we know that the slope of the required line is 3 because the slope of the given line is 3.\r<BR>\n" );
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document.write( "Since we know the slope and one point of the required line, we can use the point-slope form of the line to derive the equation.\r<BR>\n" );
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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-%28-1%29=3%28x-2%29 ALIGN=MIDDLE  ALT=\"y-%28-1%29=3%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, simplify and solve for y to put your new equation into the required slope-intercept form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-1%29=3%28x-2%29 ALIGN=MIDDLE  ALT=\"y-%28-1%29=3%28x-2%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%2B1=3x-6 ALIGN=MIDDLE  ALT=\"y%2B1=3x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x-6-1 ALIGN=MIDDLE  ALT=\"y=3x-6-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x-7 ALIGN=MIDDLE  ALT=\"y=3x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Below, the red line is the given line, and the green line is the required line.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-7%2C7%2C-7%2C7%2C%0D%0Agrid%281%29%2C%0D%0Agraph%28400%2C400%2C-7%2C7%2C-7%2C7%2C3x-1%2C3x-7%29%2C%0D%0Acircle%282%2C-1%2C.1%29%2C%0D%0Alocate%282.1%2C-1.1%2CP%282%2C-1%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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