document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204896>Question 1204896</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The segment joining (-2,-3), (6,1) is extended each way a distance equal to one-fourth its own length. Find the terminal points. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841457 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=841457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "A = (-2, -3)<BR>\n" );
document.write( "B = (6, 1)\r<BR>\n" );
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document.write( "The horizontal gap from A to B is 8 units.<BR>\n" );
document.write( "Use a number line to see there are 8 spaces between -2 and 6.<BR>\n" );
document.write( "Or subtract and use absolute value: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28A-B%29+=+abs%28-2-6%29+=+abs%28-8%29+=+8 ALIGN=MIDDLE  ALT=\"abs%28A-B%29+=+abs%28-2-6%29+=+abs%28-8%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28B-A%29+=+abs%286-%28-2%29%29+=+abs%286%2B2%29+=+abs%288%29+=+8 ALIGN=MIDDLE  ALT=\"abs%28B-A%29+=+abs%286-%28-2%29%29+=+abs%286%2B2%29+=+abs%288%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Absolute value is needed since a negative distance isn't valid.\r<BR>\n" );
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document.write( "One quarter of this 8 unit horizontal gap is 8/4 = 2 units.<BR>\n" );
document.write( "Let p = 2\r<BR>\n" );
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document.write( "The vertical gap from A to B is 4 units. <BR>\n" );
document.write( "One quarter of which is 4/4 = 1. <BR>\n" );
document.write( "Let q = 1.\r<BR>\n" );
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document.write( "When starting at A(-2,-3), move p = 2 units left and q = 1 unit down. <BR>\n" );
document.write( "This has us arrive at <font color=red>C(-4,-4)</font> as shown in the tutor @mananth's diagram\r<BR>\n" );
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document.write( "Now focus on point B(6,1)<BR>\n" );
document.write( "We move p = 2 units right and q = 1 unit up to arrive at <font color=red>D(8,2)</font>. <BR>\n" );
document.write( "Refer to that same diagram.\r<BR>\n" );
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document.write( "In summary, segment AB extends out to CD such that<BR>\n" );
document.write( "A = (-2, -3)<BR>\n" );
document.write( "B = (6, 1)<BR>\n" );
document.write( "<font color=red>C = (-4,-4)<BR>\n" );
document.write( "D = (8,2)</font><BR>\n" );
document.write( "GeoGebra is a very useful tool to confirm the answers.\r<BR>\n" );
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document.write( "Side notes:<BR>\n" );
document.write( "AB = 4*AC<BR>\n" );
document.write( "AB = 4*BD<BR>\n" );
document.write( "CD = (3/2)*AB<BR>\n" );
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