document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402409>Question 402409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the slope of any line perpendicular to 3x-4y=8? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284646 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, determine slope of<BR>\n" );
document.write( "3x-4y=8<BR>\n" );
document.write( "by reorganizing into \"slope-intercept\" form:<BR>\n" );
document.write( "3x-4y=8<BR>\n" );
document.write( "-4y= -3x+8<BR>\n" );
document.write( "y= (3/4)x-2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, now we know the slope is 3/4<BR>\n" );
document.write( "A line that is \"perpendicular\" to this must have a slope that is the \"negative reciprocal\" of the above:<BR>\n" );
document.write( "Let m = new slope<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(3/4)m = -1<BR>\n" );
document.write( "3m = -4<BR>\n" );
document.write( "m = -4/3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Solution: -4/3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );