document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121214>Question 121214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6. Are the following pairs of line parallel, perpendicular, or neither.<BR>\n" );
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document.write( "L1 with equation x + 2y = 4<BR>\n" );
document.write( "L2 with equation 2x + 4y =5<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 #88937 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=88937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the slope of each of the two lines by rewriting the equatins in slope-intercept form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx%2Bb ALIGN=MIDDLE  ALT=\"y+=+mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "L1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%281%2F2%29x%2B2 ALIGN=MIDDLE  ALT=\"y+=+-%281%2F2%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%281%2F2%29x%2B5%2F4 ALIGN=MIDDLE  ALT=\"y+=+-%281%2F2%29x%2B5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now compare with:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx%2Bb ALIGN=MIDDLE  ALT=\"y+=+mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you can see that in both equations, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+-%281%2F2%29 ALIGN=MIDDLE  ALT=\"m+=+-%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slopes, m, are equal so the lines are parallel. </SPAN>\n" );
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