document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255194>Question 255194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> are the lines parallel, perpendicualar or neither\r<BR>\n" );
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document.write( "4x+2y=8<BR>\n" );
document.write( "2x+4y=9<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 #187481 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=187481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1). 4x+2y=8<BR>\n" );
document.write( "2). 2x+4y=9\r<BR>\n" );
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document.write( "The lines are parallel if the slopes are equal. They are perpendicular if the slopes are negative reciprocals of each other.\r<BR>\n" );
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document.write( "Write both equations in slope-intercept form (i.e. y = m*x + b where m is the slope of the line).\r<BR>\n" );
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document.write( "1), 4x + 2y = 8<BR>\n" );
document.write( "    2y = -4x + 8<BR>\n" );
document.write( "    y = -2x + 4\r<BR>\n" );
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document.write( "slope = -2\r<BR>\n" );
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document.write( "2). 2x + 4y = 9<BR>\n" );
document.write( "    4y = -2x + 9<BR>\n" );
document.write( "    y = (-1/2)x + 9/4\r<BR>\n" );
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document.write( "slope = -1/2\r<BR>\n" );
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document.write( "The slopes are not the same so they are not parallel. They are also not NEGATIVE reciprocals so they are not perpendicular either. </SPAN>\n" );
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