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" );
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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 #744002 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you reflect any point about the line y=x, the x and y coordinates get swapped.  The equation for the line m is:<BR>\n" );
document.write( "y - 3 = (3 - -6)/(-4 - 2)(x + 4)<BR>\n" );
document.write( "y - 3 = (-3/2)(x + 4)<BR>\n" );
document.write( "y - 3 = (-3/2)x - 6<BR>\n" );
document.write( "y = (-3/2)x - 3<BR>\n" );
document.write( "3x + 2y = -6<BR>\n" );
document.write( "Thus the equation for the reflected line is:<BR>\n" );
document.write( "2x + 3y = -6<BR>\n" );
document.write( "Ans: b </SPAN>\n" );
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