document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187743>Question 187743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation of the line through (3, -1) and parallel to the line through (1,2) and (2,1).\r<BR>\n" );
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document.write( "Thanks for the big help.. Kindly put the solution..\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 #140770 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=140770\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
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document.write( "First, we find the Line Eqn thru points (1,2) & (2,1) via Slope-Intercept From;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%281-2%29%2F%282-1%29=-1%2F1=red%28-1%29 ALIGN=MIDDLE  ALT=\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%281-2%29%2F%282-1%29=-1%2F1=red%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since parallel to the line passing thru (3,-1)----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D=m%5B2%5D=-1 ALIGN=MIDDLE  ALT=\"m%5B1%5D=m%5B2%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then on point (3,-1), via Point Slope-Form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1=%28-1%29%283%29%2Bb ALIGN=MIDDLE  ALT=\"-1=%28-1%29%283%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-1%2B3=2 ALIGN=MIDDLE  ALT=\"b=-1%2B3=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Y-Intercept\r<BR>\n" );
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document.write( "Therefore the Line Eqn-----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2B2 ALIGN=MIDDLE  ALT=\"y=-x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---> <font color=red>x+y=2</font> Standard Form<BR>\n" );
document.write( "We can get the line eqn to where it is parallel. Thru point (1,2):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=-1%281%29%2Bb ALIGN=MIDDLE  ALT=\"2=-1%281%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2%2B1=red%283%29 ALIGN=MIDDLE  ALT=\"b=2%2B1=red%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thru point (2,1): ----><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=%28-1%29%282%29%2Bb ALIGN=MIDDLE  ALT=\"1=%28-1%29%282%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1%2B2=red%283%29 ALIGN=MIDDLE  ALT=\"b=1%2B2=red%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So it follows---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2B3 ALIGN=MIDDLE  ALT=\"y=-x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We see the lines:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-5%2C5%2C-5%2C5%2Cgrid%281%29%2Cgraph%28400%2C400%2C-5%2C5%2C-5%2C5%2C-x%2B3%2C-x%2B2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >----> RED, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x=3 ALIGN=MIDDLE  ALT=\"y=-x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >; GREEN, <font color=red>x+y=2</font>, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2B2 ALIGN=MIDDLE  ALT=\"y=-x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "jojo</font>\r<BR>\n" );
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