document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88085>Question 88085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line L satisfying the given geometric conditions.  For Problems 36 and 40, refer to Example 5 (p 631) for the solution of similar problems.  Recall that parallel lines have identical slopes – they only differ in their y-intercept – for Problem 36.  Problem 40 requires that you find the slope of the line that is perpendicular to the one represented by the given equation.\r<BR>\n" );
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document.write( "L has y-intercept (0, 2) and is perpendicular to the line with equation: \r<BR>\n" );
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document.write( "2x – 3y = 6.<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 #64161 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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/cgi-bin/show-face.mpl?user=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perpendicular lines have slopes which are negative reciprocals of each other.<BR>\n" );
document.write( "So, the first step is to find the slope of the given line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y=6 ALIGN=MIDDLE  ALT=\"2x-3y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Put it in y=mx+b form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3y=-2x%2B6 ALIGN=MIDDLE  ALT=\"-3y=-2x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2F3-2 ALIGN=MIDDLE  ALT=\"y=2x%2F3-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, you can just read off the slope from the equation. It is 2/3.<BR>\n" );
document.write( "So the line L, since it is perpendicular to this line, will have a slope<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-3%2F2 ALIGN=MIDDLE  ALT=\"m=-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is the negative reciprocal of 2/3.<BR>\n" );
document.write( "They are already giving you the Y-intercept, which is 2. So you are ready to write out the equation of the line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=-3x%2F2%2B2%29 ALIGN=MIDDLE  ALT=\"highlight%28L=-3x%2F2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
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