document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=683785>Question 683785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help please!  a triangle has its vertices at (6,0), (5,3), and (-1,-4) find the equation of the line through the vertices parallel to the opposite side. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423717 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (6,0), (5,3), and (-1,-4)\r<BR>\n" );
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document.write( "Let A (6,0), B(5,3), and C(-1,-4)be the vertices of the triangle\r<BR>\n" );
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document.write( "Let P,Q be the mid points of AB & AC respectively\r<BR>\n" );
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document.write( "PQ is parallel to BC\r<BR>\n" );
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document.write( "Determine co ordinates of P & Q by mid point formula\r<BR>\n" );
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document.write( "A (6,0), B(5,3), \r<BR>\n" );
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document.write( "Let P(x3,y3)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x3=+%286%2B5%29%2F2+=+11%2F2 ALIGN=MIDDLE  ALT=\"x3=+%286%2B5%29%2F2+=+11%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y3=%283%2B0%29%2F2+=+3%2F2 ALIGN=MIDDLE  ALT=\"y3=%283%2B0%29%2F2+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "p=((11/2),(3/2))\r<BR>\n" );
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document.write( "Similarly find co ordinates of Q the mid point of AC\r<BR>\n" );
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document.write( "Q=(x4,y4)<BR>\n" );
document.write( "A (6,0), C(-1,-4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x4=+%28-1%2B6%29%2F2=%285%2F2%29 ALIGN=MIDDLE  ALT=\"x4=+%28-1%2B6%29%2F2=%285%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y4=%28-4%2B0%29%2F2=+-2 ALIGN=MIDDLE  ALT=\"y4=%28-4%2B0%29%2F2=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Q=((5/2),(-2))\r<BR>\n" );
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document.write( "The equation of PQ \r<BR>\n" );
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document.write( "use formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y-y1%29%2F%28y1-y2%29%29=%28%28x-x1%29%2F%28x1-x2%29%29 ALIGN=MIDDLE  ALT=\"%28%28y-y1%29%2F%28y1-y2%29%29=%28%28x-x1%29%2F%28x1-x2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "p=((11/2),(3/2)), Q=((5/2),(-2))\r<BR>\n" );
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document.write( "equation of PQ -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-%283%2F2%29%29%2F%28%283%2F2%29-%28-2%29%29=+%28x-%2811%2F2%29%29%2F%28%2811%2F2%29-%285%2F2%29%29 ALIGN=MIDDLE   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=%28y-3%2F2%29%2F%287%2F2%29+=+%28x-%2811%2F2%29%29%2F3 ALIGN=MIDDLE  ALT=\"%28y-3%2F2%29%2F%287%2F2%29+=+%28x-%2811%2F2%29%29%2F3\"   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=3%28y-%283%2F2%29%29=%287%2F2%29%28x-%2811%2F2%29%29 ALIGN=MIDDLE  ALT=\"3%28y-%283%2F2%29%29=%287%2F2%29%28x-%2811%2F2%29%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=3y-%289%2F2%29=7x%2F2-%2877%2F4%29 ALIGN=MIDDLE  ALT=\"3y-%289%2F2%29=7x%2F2-%2877%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "multiply equation by 4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12y-18=14x-77 ALIGN=MIDDLE  ALT=\"12y-18=14x-77\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "14x-12y=59 is the equation of PQ\r<BR>\n" );
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document.write( " </SPAN>\n" );
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