document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65946>Question 65946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line L satisfying the given geometric conditions:<BR>\n" );
document.write( "L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y=6<BR>\n" );
document.write( "I have gone over and over this and can not figure it out, and there is not an example that I can find in the book, which by the way is an online text so I do not have an ISBN number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46703 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=46703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line whose y-intercept is (0, 2) and which is perpendicular to the line with equation: <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( "You can write the equation in the slope-intercept form. y = mx+b<BR>\n" );
document.write( "You are given the y-intercept: b = 2<BR>\n" );
document.write( "The slope can be found from the fact that it is perpendicular to 2x-3y = 6<BR>\n" );
document.write( "Find the slope of the given line by rewriting it in the slope-intercept form.<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;\" > Add 3y to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+3y%2B6 ALIGN=MIDDLE  ALT=\"2x+=+3y%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-6+=+3y ALIGN=MIDDLE  ALT=\"2x-6+=+3y\"   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=%282%2F3%29x-2+=+y ALIGN=MIDDLE  ALT=\"%282%2F3%29x-2+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2F3%29x-2 ALIGN=MIDDLE  ALT=\"y+=+%282%2F3%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Compare this 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;\" > The slope of the given line is m = 2/3<BR>\n" );
document.write( "A line that is perpendicular to this will have a slope that is the negative reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the slope of the new line is <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( "The equation of the new line is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=-%283%2F2%29x%2B2 ALIGN=MIDDLE  ALT=\"y+=-%283%2F2%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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