document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=731405>Question 731405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line though (-2, -6) perpendicular to the line y= (1/3)x + 4/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447105 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=447105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line perpendicular to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+%281%2F3%29x+%2B+4%2F3 ALIGN=MIDDLE  ALT=\"y=+%281%2F3%29x+%2B+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > will have a slope of -3/1, because perpendicular lines in a plane have slopes which are negative reciprocals of each other.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Knowing the slope, -3, and the point which must be in this new line, (-2, -6), we can use the point-slope form for a line to write the equation and then simplify:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Point-Slope form for a line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y-y%5B0%5D=m%28x-x%5B0%5D%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y-y%5B0%5D=m%28x-x%5B0%5D%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=m%28x-x%5B0%5D%29%2By%5B0%5D ALIGN=MIDDLE  ALT=\"y=m%28x-x%5B0%5D%29%2By%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting coordinate values of the given point to be contained and also the slope,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3%28x-%28-2%29%29%2B%28-6%29 ALIGN=MIDDLE  ALT=\"y=-3%28x-%28-2%29%29%2B%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3%28x%2B2%29-6 ALIGN=MIDDLE  ALT=\"y=-3%28x%2B2%29-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-3x-6-6 ALIGN=MIDDLE  ALT=\"y=-3x-6-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The line is:______<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-3x%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );