document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57071>Question 57071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> L has y-intercept (0, 2) and is perpendicular to the line with equation 2x - 3y = 6.<BR>\n" );
document.write( "Write the equation of the line L satisfying the given geometric conditions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38772 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=38772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L has y-intercept (0, 2) and is perpendicular to the line with equation 2x - 3y = 6.<BR>\n" );
document.write( "Write the equation of the line L satisfying the given geometric conditions.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "First we need to find the slope of the line that they gave you.  When you need to find the slope of a linear equation, put the equation in slope-intercept form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=mx%2Bb%29 ALIGN=MIDDLE  ALT=\"highlight%28y=mx%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where m=slope and (0,b)=y-intercept.<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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B2x-3y=-2x%2B6 ALIGN=MIDDLE  ALT=\"-2x%2B2x-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=-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=-3y%2F-3=%28-2%2F-3%29x%2B6%2F-3 ALIGN=MIDDLE  ALT=\"-3y%2F-3=%28-2%2F-3%29x%2B6%2F-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=highlight%28%282%2F3%29%29x-2 ALIGN=MIDDLE  ALT=\"y=highlight%28%282%2F3%29%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the slope of this line is:m=2/3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Perpendicular lines have slopes that are negative reciprocals of each other, so change the sign and flip the slope upside down.<BR>\n" );
document.write( "The slope of the line we are writing an equation of is: m=-3/2 and the y-intercept is (0,b)=(0,2)  Plug these values into the slope intercept form of a line:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=highlight%28%28-3%2F2%29%29x%2Bhighlight%282%29 ALIGN=MIDDLE  ALT=\"y=highlight%28%28-3%2F2%29%29x%2Bhighlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28-3%2F2%29x%2B2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28-3%2F2%29x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );