document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=480714>Question 480714</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Instructions say: \"Find an equation in standard form for the line described.\"  The question is: \"Through P (5, -2) and perpendicular to the line 2x-3y=6.  Please help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329177 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=329177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  \"Find an equation in standard form for the line described.\" The question is: \"Through P (5, -2) and perpendicular to the line 2x-3y=6. <BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for a straight line:<BR>\n" );
document.write( "y=mx+b, m=slope and b=y-intercept<BR>\n" );
document.write( "..<BR>\n" );
document.write( "rewrite given equation<BR>\n" );
document.write( "2x-3y=6<BR>\n" );
document.write( "3y=2x-6<BR>\n" );
document.write( "slope=2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Perpendicular line:<BR>\n" );
document.write( "slope=negative reciprocal of slope of given equation=-1/2<BR>\n" );
document.write( "equation: y=(-1/2)x+b<BR>\n" );
document.write( "solving for b using coordinates of given point (5, -2) thru which line passes.<BR>\n" );
document.write( "-2=-5/2+b<BR>\n" );
document.write( "b=-2+5/2=-4/2+5/2=1/2<BR>\n" );
document.write( "Equation: y=x/2+1/2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );