document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210645>Question 210645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me understand this. I understand everything except this one. \r<BR>\n" );
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document.write( "Determine whether the graphs of the given pair of lines are perpendicular.\r<BR>\n" );
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document.write( "2x = 3\r<BR>\n" );
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document.write( "-3y = 6\r<BR>\n" );
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document.write( "The book says they are perpendicular, but I can't figure out why this is true. Thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159153 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=159153\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+3 ALIGN=MIDDLE  ALT=\"2x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2 ALIGN=MIDDLE  ALT=\"x+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the equation of a vertical line passing through <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2 ALIGN=MIDDLE  ALT=\"x+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Notice that this equation does not include the y-variable and this means that any point that has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2 ALIGN=MIDDLE  ALT=\"x+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and any value of y will lie on the line.<BR>\n" );
document.write( "For example, some of the points could include:<BR>\n" );
document.write( "(3/2, 7), (3/2, 78), (3/2, 309), etc. The x-value is always the same but the y-value can be any value you choose.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3y+=+6 ALIGN=MIDDLE  ALT=\"-3y+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2 ALIGN=MIDDLE  ALT=\"y+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > This the equation of a horizontal line passing through <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2 ALIGN=MIDDLE  ALT=\"y+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This one works just like the previous one only the points could include:<BR>\n" );
document.write( "(4, -2), (46, -2), (78, -2), etc. The y-value is always the same but the x-value can be any value you choose.<BR>\n" );
document.write( "If you were to plot these points on your coordinate graph paper and join them together, you would see that they make a vertical line in the first case and a horizontal line in the second case. </SPAN>\n" );
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