document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200525>Question 200525</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation of a line that is perpendicular to y= 2x +3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150758 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=150758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take note that the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=2 ALIGN=MIDDLE  ALT=\"m=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=2%2F1 ALIGN=MIDDLE  ALT=\"m=2%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Flip this fraction and change the sign to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-1%2F2 ALIGN=MIDDLE  ALT=\"m=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now it turns out that any equation of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2Bb ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where \"b\" is a constant) is perpendicular to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%2B3 ALIGN=MIDDLE  ALT=\"y=2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So the equations <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2B2 ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2B1%2F3 ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2B1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2B55 ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2B55\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F2%29x%2B11 ALIGN=MIDDLE  ALT=\"y=-%281%2F2%29x%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, etc.. are all perpendicular to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=+2x+%2B3 ALIGN=MIDDLE  ALT=\"+y=+2x+%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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