document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127490>Question 1127490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Line m passes through points (-4, 3) and (2, -6). If line q is generated by reflecting m across the line y=x, then which of the following represents the equation of q?\r<BR>\n" );
document.write( "\n" );
document.write( "a. 3x + 2y = 6<BR>\n" );
document.write( "b. 2x + 3y = -6<BR>\n" );
document.write( "c. 2x + 3y = 6<BR>\n" );
document.write( "d. -2x + 3y = 6<BR>\n" );
document.write( "e. 3x + 2y = 18 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744006 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The basic idea is, as the other tutor said, that when you reflect a line (or any graph) over the line y=x, the x and y coordinates get switched.<br><BR>\n" );
document.write( "His method for solving the problem was to find the equation of the line through the two given points and switch the x and y in the equation.<br><BR>\n" );
document.write( "Another method would to be to switch the coordinates of the two given points and find the equation of the line through those two points:<br><BR>\n" );
document.write( "The two reflected points are (3,-4) and (-6,2).<BR>\n" );
document.write( "The slope of the line through those two points is -6/9 = -2/3.<BR>\n" );
document.write( "Using either of the two points and the slope, the equation of the line is y = (-2/3)x-2.<BR>\n" );
document.write( "Changing the equation to standard form gives 2x+3y=6.<br><BR>\n" );
document.write( "Both methods are equally valid, and equally easy.  If you have several problems like this, try both methods and find which you find easier to use. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );