document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=708173>Question 708173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two points have coordinates A (2,3) and B (6,7). If C(7,t) lies on the perpendicular bisector of AB, find the value of t. Find the coordinates of D such that the line AB is the perpendicular bisector of CD. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436000 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=436000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is help for the first part.\r<BR>\n" );
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document.write( "You want the midpoint of segment AB.  Determine the slope of line AB using the two given points of A and B.  Determine the slope of the line perpendicular to this one; use the fact that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D%2Am%5B2%5D=-1 ALIGN=MIDDLE  ALT=\"m%5B1%5D%2Am%5B2%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > if line 1 and line 2 are perpendicular.<BR>\n" );
document.write( "Whether as general form or standard form, find the equation for this perpendicular line.l  Again you need to use the midpoint of AB for this.  \r<BR>\n" );
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document.write( "Have the equation of this perpendicular line; use C to calculate what <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > is.\r<BR>\n" );
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document.write( "Slope for AB, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-3%29%2F%286-2%29=1 ALIGN=MIDDLE  ALT=\"%287-3%29%2F%286-2%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  m=1.<BR>\n" );
document.write( "The slope of the perpendicular line is then -1.\r<BR>\n" );
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document.write( "Midpoint of AB:  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2B6%29%2F2 ALIGN=MIDDLE  ALT=\"%282%2B6%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2B7%29%2F2 ALIGN=MIDDLE  ALT=\"%283%2B7%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = (4,5).\r<BR>\n" );
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document.write( "Line 2 which is perpendicular to AB is like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%2Ax%2Bb ALIGN=MIDDLE  ALT=\"y=-1%2Ax%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and MUST contain (4,5).<BR>\n" );
document.write( "5=-4+b, so b=9.<BR>\n" );
document.write( "Line 2 is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2B9 ALIGN=MIDDLE  ALT=\"y=-x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Line 2 is said t contain point C, (7,t) and we want to find t.<BR>\n" );
document.write( "Substitute the point directly into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2B9 ALIGN=MIDDLE  ALT=\"y=-x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-%287%29%2B9 ALIGN=MIDDLE  ALT=\"t=-%287%29%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28t=2%29 ALIGN=MIDDLE  ALT=\"highlight%28t=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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