document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=282935>Question 282935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the lines –2x + 3y = 6 and 2y + 3x = 4.   What is the relationship between these lines? (Be sure to show your work and state your reason for your answer.  There is no credit give for just a letter as the answer.)\r<BR>\n" );
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document.write( "a) Parallel<BR>\n" );
document.write( "b) Intersecting at other than a 90 degree angle<BR>\n" );
document.write( "c) Intersecting and perpendicular<BR>\n" );
document.write( "d) No relationship<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205420 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=205420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> –2x + 3y = 6<BR>\n" );
document.write( "slope =-a/b where here a=-2 and b=3<BR>\n" );
document.write( "-(-2)/3=2/3\r<BR>\n" );
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document.write( " and 2y + 3x = 4<BR>\n" );
document.write( "we need to rearrange<BR>\n" );
document.write( "3x+2y=4<BR>\n" );
document.write( "-a/b<BR>\n" );
document.write( "-3/2<BR>\n" );
document.write( "--3/2*2/3=-1 there fore they are perpendicular and intersecting Since perpendicular lines must cross at some point\r<BR>\n" );
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document.write( "Just for fun (not needed) let's find the intersection.<BR>\n" );
document.write( "–2x + 3y = 6<BR>\n" );
document.write( "3x + 2y = 4<BR>\n" );
document.write( "multiply first by 3 and second by 2.<BR>\n" );
document.write( "-6x+9y=18<BR>\n" );
document.write( "6x+4y=8<BR>\n" );
document.write( "add them<BR>\n" );
document.write( "13y=26<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "plug 2 for y in any of the equations.<BR>\n" );
document.write( "2y + 3x = 4<BR>\n" );
document.write( "2*2+3x=4<BR>\n" );
document.write( "3x=0<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "(0,2) is the intersection of the two equations. </SPAN>\n" );
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