document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065647>Question 1065647</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using slopes, find the fourth vertex of a parallelogram if (7,-1),(-3,1) and (-5,5) are it's three consecutive vertices. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680826 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=680826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=af16.JPG\">.<BR>\n" );
document.write( "Find the slope of the line from (-3,1) to (-5,5).<BR>\n" );
document.write( "Change in y is 4, change in x is -2.<BR>\n" );
document.write( "So starting at (7,-1),<BR>\n" );
document.write( "(7,-1)+(-2,4)=(5,3)<BR>\n" );
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document.write( "Algebraically,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D=%285-1%29%2F%28-5-%28-3%29%29=4%2F%28-2%29=-2 ALIGN=MIDDLE  ALT=\"m%5B1%5D=%285-1%29%2F%28-5-%28-3%29%29=4%2F%28-2%29=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then starting from (7,-1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-1%29=-2%28x-7%29 ALIGN=MIDDLE  ALT=\"y-%28-1%29=-2%28x-7%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=-2x%2B14 ALIGN=MIDDLE  ALT=\"y%2B1=-2x%2B14\"   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=-2x%2B13 ALIGN=MIDDLE  ALT=\"y%5B1%5D=-2x%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next find the slope from (7,-1) to (-3,1),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=%281-%28-1%29%29%2F%28-3-7%29=2%2F-10=-1%2F5 ALIGN=MIDDLE  ALT=\"m%5B2%5D=%281-%28-1%29%29%2F%28-3-7%29=2%2F-10=-1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Starting from (-5,5),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5=-%281%2F5%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"y-5=-%281%2F5%29%28x%2B5%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-5=-x%2F5-1 ALIGN=MIDDLE  ALT=\"y-5=-x%2F5-1\"   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=-x%2F5%2B4 ALIGN=MIDDLE  ALT=\"y%5B2%5D=-x%2F5%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So now find the intersection of the two lines,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B13=-x%2F5%2B4 ALIGN=MIDDLE  ALT=\"-2x%2B13=-x%2F5%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x%2B65=-x%2B20 ALIGN=MIDDLE  ALT=\"-10x%2B65=-x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9x=-45 ALIGN=MIDDLE  ALT=\"-9x=-45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%285%29%2B13 ALIGN=MIDDLE  ALT=\"y=-2%285%29%2B13\"   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 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(5,3) as we already showed. <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=af18.JPG\">. </SPAN>\n" );
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