document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102748>Question 102748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine which two equations represent perpendicular lines.<BR>\n" );
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document.write( "(a)y=4/7x-3    (b)  y=3x-4/7   \r<BR>\n" );
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document.write( "(c) y=1/3x+4/7   (d)  y=1/3x-4/7<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 #74720 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=74720\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, by inspection, you can see that the slopes of the lines represented by these four equations are all positive, so there are no perpendicular lines.<BR>\n" );
document.write( "Why?  Because perpendicular lines have slopes that are the negative reciprocal of each other and, as you can see, there are no negative slopes, ergo, no perpendicular lines.<BR>\n" );
document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%284%2F7%29x-3 ALIGN=MIDDLE  ALT=\"y+=+%284%2F7%29x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Compare with: <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;\" > Slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+4%2F7 ALIGN=MIDDLE  ALT=\"m+=+4%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3x-%284%2F7%29 ALIGN=MIDDLE  ALT=\"y+=+3x-%284%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+3 ALIGN=MIDDLE  ALT=\"m+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F3%29x%2B%284%2F7%29 ALIGN=MIDDLE  ALT=\"y+=+%281%2F3%29x%2B%284%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%281%2F3%29 ALIGN=MIDDLE  ALT=\"m+=+%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F3%29x-%284%2F7%29 ALIGN=MIDDLE  ALT=\"y+=+%281%2F3%29x-%284%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%281%2F3%29 ALIGN=MIDDLE  ALT=\"m+=+%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The lines represented by equations c) and d) have equal slopes, so these lines are parallel. </SPAN>\n" );
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