document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851443>Question 851443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the coordinates of the intersection of the diagonals of parallelogram XYZW with vertices X (3,0), Y (3,8) Z (-2,6), and W (-2,-2).\r<BR>\n" );
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document.write( "Thank You in Advance, Tutor!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512791 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=512791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can make a graph both to answer and to check; but you can always use points of each pair of opposite corners to form the equations for the lines containing the diagonals, and then solve them as two simultaneous equations.  The solution is the intersection point of the diagonals.  \r<BR>\n" );
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document.write( "XZ<BR>\n" );
document.write( "slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286-0%29%2F%28-2-3%29=-6%2F5 ALIGN=MIDDLE  ALT=\"%286-0%29%2F%28-2-3%29=-6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "as if y-mx to get y intercept,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-%28-6%2F5%293=18%2F5 ALIGN=MIDDLE  ALT=\"0-%28-6%2F5%293=18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%286%2F5%29x%2B18%2F5 ALIGN=MIDDLE  ALT=\"y=-%286%2F5%29x%2B18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "YW<BR>\n" );
document.write( "slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288-%28-2%29%29%2F%283-%28-2%29%29=2 ALIGN=MIDDLE  ALT=\"%288-%28-2%29%29%2F%283-%28-2%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "y-intercept,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8-2%2A3=2 ALIGN=MIDDLE  ALT=\"+8-2%2A3=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=2x%2B2 ALIGN=MIDDLE  ALT=\"y=2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "FIND INTERSECTION<BR>\n" );
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document.write( "Equating expressions for y, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%286%2F5%29x%2B18%2F5=2x%2B2 ALIGN=MIDDLE  ALT=\"-%286%2F5%29x%2B18%2F5=2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283%2F5%29x%2B9%2F5=x%2B1 ALIGN=MIDDLE  ALT=\"-%283%2F5%29x%2B9%2F5=x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=-%283%2F5%29x%2B9%2F5 ALIGN=MIDDLE  ALT=\"x%2B1=-%283%2F5%29x%2B9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2F5%29x=4%2F5 ALIGN=MIDDLE  ALT=\"%288%2F5%29x=4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------One of the coordinates<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2B2 ALIGN=MIDDLE  ALT=\"y=2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2A2%2B2 ALIGN=MIDDLE  ALT=\"y=2%2A2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=6%29 ALIGN=MIDDLE  ALT=\"highlight%28y=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------Other coordinate </SPAN>\n" );
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