document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404397>Question 404397</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Let a and b be real numbers. A line passes through points (a,b) and (b,a). Consider another three points (a+1,b-1), (b+1,a-1), ((a+b)/2,(a+b)/2). Which of the following is true regardless of the choice of a and b?\r<BR>\n" );
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document.write( "choose the answer and explain the reason to choose your response<BR>\n" );
document.write( "Exactly two of the points lie on the line<BR>\n" );
document.write( "All three of the points lie on the line<BR>\n" );
document.write( "Exactly one of the points lies on the line<BR>\n" );
document.write( "None of the points lie on the line </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285831 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All three of the points lie on the same line.<BR>\n" );
document.write( "The line through (a,b) and (b,a)has slope -1.<BR>\n" );
document.write( "The line through(a,b) and (a+1,b-1) has slope -1.<BR>\n" );
document.write( "The line through(a,b) and (b+1,a-1) has slope -1.<BR>\n" );
document.write( "The point ((a+b)/2,(a+b)/2) is the midpoint of the points (a,b) and (b,a). </SPAN>\n" );
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