document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=157432>Question 157432</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078228808/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Suppose PQ has endpoints P(2,3) and Q(8,-9). Find the coordinates of R and S so that R lies between P and S and PR=RS=SQ.<BR>\n" );
document.write( "I know that the answer is R(4,-1) S(6,-5) but I don't know how? Help me understand.<BR>\n" );
document.write( "Thanks.<BR>\n" );
document.write( "-Liz </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116050 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=116050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the x distance from R to S.<BR>\n" );
document.write( "Find the y distance from R to S.<BR>\n" );
document.write( "Divide both equally into thirds.<BR>\n" );
document.write( "Find the coordinates using this x and y spacing.<BR>\n" );
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document.write( "From P to Q, the total x change is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DELTA%2Ax=8-2=6 ALIGN=MIDDLE  ALT=\"DELTA%2Ax=8-2=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1/3 of the x change (x spacing) is, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28DELTA%2Ax%29%2F3=6%2F3=2 ALIGN=MIDDLE  ALT=\"%28DELTA%2Ax%29%2F3=6%2F3=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From P to Q, the total y change is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DELTA%2Ay=-9-3=-12 ALIGN=MIDDLE  ALT=\"DELTA%2Ay=-9-3=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1/3 of the y change (y spacing), <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28DELTA%2Ay%29%2F3=-12%2F3=-4 ALIGN=MIDDLE  ALT=\"%28DELTA%2Ay%29%2F3=-12%2F3=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now start at P, find the coordinate of R using the x and y spacing,<BR>\n" );
document.write( "R:(2,3)+(2,-4)=(4,-1)<BR>\n" );
document.write( "Continue to the next point, S.<BR>\n" );
document.write( "S:(4,-1)+(2,-4)=(6,-5)<BR>\n" );
document.write( "You can verify that the next point is Q.<BR>\n" );
document.write( "Q:(6,-5)+(2,-4)=(8,-9)<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-4%2C+10%2C+-10%2C+4%2Cgrid%28+1+%29%2C%0D%0Acircle%28+2%2C+3%2C+.2+%29%2C%0D%0Acircle%28+4%2C+-1%2C+.2+%29%2C%0D%0Acircle%28+6%2C+-5%2C+.2+%29%2C%0D%0Acircle%28+8%2C+-9%2C+.2+%29%2C%0D%0Agreen%28line%28+2%2C+3%2C+8%2C+-9%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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