document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024483>Question 1024483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A (x,y) is a point on the number plane. B is formed by reversing the coordinate of A. Show that AB is perpendicular to the line y=x and show that the midpoint C of AB which is lying on y=x.\r<BR>\n" );
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document.write( "How do I do this? Please explain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639863 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=639863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The described process follows the definition of function inverse.\r<BR>\n" );
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document.write( "x y pair  (p,r).<BR>\n" );
document.write( "Switching the x and y values gives the point  (r,p).<BR>\n" );
document.write( "Slope of these two points is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-r%29%2F%28r-p%29=%28-1%29%28r-p%29%2F%28r-p%29=highlight_green%28-1%29 ALIGN=MIDDLE  ALT=\"%28p-r%29%2F%28r-p%29=%28-1%29%28r-p%29%2F%28r-p%29=highlight_green%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and this is for the line connecting  (p,r) and (r,p).\r<BR>\n" );
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document.write( "The other line referenced, y=x which can be taken as being in slope-intercept form, has obviously the slope  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%281%29 ALIGN=MIDDLE  ALT=\"highlight_green%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Notice that the product of the slopes for (p,r) to (r,p) and line y=x is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2A1=-1 ALIGN=MIDDLE  ALT=\"-1%2A1=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The product of two slopes being NEGATIVE ONE, means that the lines are PERPENDICULAR. </SPAN>\n" );
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