document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=265599>Question 265599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can help me please?\r<BR>\n" );
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document.write( "Find an equation in standard form for the line described.\r<BR>\n" );
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document.write( "- Through Q(-3,2) and parallel to the line containing (2,3) and (1,-2)\r<BR>\n" );
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document.write( "THANKS FOR ALL YOUR HELP!<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 #195276 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The reasoning steps are:<BR>\n" );
document.write( "(1) If 2 lines are parallel, they have the same slope<BR>\n" );
document.write( "(2) If you know 2 points, you know the equation of the<BR>\n" );
document.write( "line through those 2 points<BR>\n" );
document.write( "First, I'll find the equation of the line through<BR>\n" );
document.write( "P[1](2,3) and P[2](1,-2)<BR>\n" );
document.write( "The general equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+y%5B1%5D%29%2F%28x+-+x%5B1%5D%29+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+2 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+3 ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+1 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+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%5B2%5D+=+-2 ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+3%29%2F%28x+-+2%29+=+%28-2+-+3%29%2F%281+-+2%29 ALIGN=MIDDLE  ALT=\"%28y+-+3%29%2F%28x+-+2%29+=+%28-2+-+3%29%2F%281+-+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=%28y+-+3%29%2F%28x+-+2%29+=+-5%2F-1 ALIGN=MIDDLE  ALT=\"%28y+-+3%29%2F%28x+-+2%29+=+-5%2F-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y+-+3%29%2F%28x+-+2%29+=+5 ALIGN=MIDDLE  ALT=\"%28y+-+3%29%2F%28x+-+2%29+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+3+=+5%2A%28x+-+2%29 ALIGN=MIDDLE  ALT=\"y+-+3+=+5%2A%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+-+3+=+5x+-+10 ALIGN=MIDDLE  ALT=\"y+-+3+=+5x+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+5x+-+7 ALIGN=MIDDLE  ALT=\"y+=+5x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is in the general form <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;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope, so the slope <BR>\n" );
document.write( "of this equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and any line that<BR>\n" );
document.write( "is parallel to it has slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "Now I have to find the line through Q(-3,2) <BR>\n" );
document.write( "with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+5 ALIGN=MIDDLE  ALT=\"m+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the general form for a line is <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;\" >,<BR>\n" );
document.write( "I can plug in values for x,y,and m, and then find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+5%2A%28-3%29+%2B+b ALIGN=MIDDLE  ALT=\"2+=+5%2A%28-3%29+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+-15+%2B+b ALIGN=MIDDLE  ALT=\"2+=+-15+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+17 ALIGN=MIDDLE  ALT=\"b+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the equation is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+5x+%2B+17 ALIGN=MIDDLE  ALT=\"y+=+5x+%2B+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and in standard form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+-+y+=+-17 ALIGN=MIDDLE  ALT=\"5x+-+y+=+-17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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