document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168522>Question 168522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've checked all over this site, but can't find a response for these 2 problems.<BR>\n" );
document.write( "Please help!\r<BR>\n" );
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document.write( "1.Find the coordinates of the point C, halfway between the points A(5,1) and B(-2,7).\r<BR>\n" );
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document.write( "2. What is the equation of the perpendicular bisector of teh line between the points (2,2) and (6,6)?\r<BR>\n" );
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document.write( "Thanks in advance for any help!<BR>\n" );
document.write( "Andrew </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124199 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=124199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "X-coordinate of the midpoint: average of the two x coordinates\r<BR>\n" );
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document.write( "x-mid = (5+(-2))/2 = 3/2 = 1.5\r<BR>\n" );
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document.write( "Y-coordinate of the midpoint: average of the two y coordinates\r<BR>\n" );
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document.write( "y-mid = (1+7)/2 = 8/2 = 4\r<BR>\n" );
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document.write( "Midpoint between the points A(5,1) and B(-2,7): (1.5, 4)\r<BR>\n" );
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document.write( "Note: you can graph the points and measure the distances to verify\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "Use the same technique used in problem #1 to get the midpoint (4, 4)\r<BR>\n" );
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document.write( "Now find the slope between the the points (2,2) and (6,6)\r<BR>\n" );
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document.write( "Whatever that slope turns out to be, find the reciprocal (ie flip the fraction) and change the sign to find the perpendicular slope. For instance if the slope is 1/2, then flip and change the sign to get -2/1. \r<BR>\n" );
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document.write( "Once you have the perpendicular slope, plug it into the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5B1%5D=m%28+x-x%5B1%5D+%29 ALIGN=MIDDLE  ALT=\"y-y%5B1%5D=m%28+x-x%5B1%5D+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where in this case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the perpendicular slope and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(x_{1},y_{1}\right)\"> is the midpoint\r<BR>\n" );
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document.write( "From there, solve for \"y\" to find the equation of the perpendicular bisector\r<BR>\n" );
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document.write( "Feel free to ask for further help in finding the perpendicular bisector. </SPAN>\n" );
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