document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173186>Question 173186</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.\r<BR>\n" );
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document.write( "3x - 8y = -18<BR>\n" );
document.write( "32x + 12y = -18 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128031 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=128031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> re write these in y=mx+b forms......parallel have equal slopes and perpendicular have negative inverses<BR>\n" );
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document.write( "8y=3x+18--->y=(3/8)x+9/4....so a slope of 3/8<BR>\n" );
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document.write( "12y=-32x-18---->y=-8/3x-3/2...so a slope of -8/3<BR>\n" );
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document.write( "when negative inverses are multiplied they equal -1<BR>\n" );
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document.write( "3/8(-8/3)=-1.<BR>\n" );
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document.write( "therefore the two lines are perpendicular<BR>\n" );
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