document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108243>Question 108243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation, in standard form, with all integer coefficients, of the line perpendicular to 3x-6y=9 and passing through (-2,-1). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78939 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=78939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the given equation is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3x - 6y = 9 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Writing this equation in the slope intercept form, we get: \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x%2F2%29+-+%283%2F2%29 ALIGN=MIDDLE  ALT=\"y+=+%28x%2F2%29+-+%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "therefore the slope in the above equation is m = (1/2) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We know that 2 lines are perpendicular when the product of their slopes are equal to -1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the slope of the second line is = -2 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now substituing the point and the slope in the one point form we get the required line.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(y - y1) = m(x - x1) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(y - (-1)) = (-2)(x - (-2)) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y + 1 = (-2)( x + 2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y + 1 = -2x - 4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> y = -2x - 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "thus the required line\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );