document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973834>Question 973834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line L that passes through the point (&#8722;2, 6)and satisfies the given condition. (Let x be the independent variable and y be the dependent variable.)<BR>\n" );
document.write( "L is perpendicular to the line 4x + 3y = 6<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595880 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x+%2B+3y+=+6+ ALIGN=MIDDLE  ALT=\"+4x+%2B+3y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y+=+-4x+%2B+6+ ALIGN=MIDDLE  ALT=\"+3y+=+-4x+%2B+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+=+-%284%2F3%29%2Ax+%2B+2+ ALIGN=MIDDLE  ALT=\"+y+=+-%284%2F3%29%2Ax+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Any line perpendicular to this line<BR>\n" );
document.write( "will have slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2Fm+ ALIGN=MIDDLE  ALT=\"+-1%2Fm+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+-4%2F3+ ALIGN=MIDDLE  ALT=\"+m+=+-4%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2Fm+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+-1%2Fm+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The required line goes through ( -2,6 )<BR>\n" );
document.write( "Now use point-slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+6+%29+%2F+%28+x+-%28-2%29+%29+=+3%2F4+ ALIGN=MIDDLE  ALT=\"+%28+y+-+6+%29+%2F+%28+x+-%28-2%29+%29+=+3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+-+6+=+%283%2F4%29%2A%28+x%2B2+%29+ ALIGN=MIDDLE  ALT=\"+y+-+6+=+%283%2F4%29%2A%28+x%2B2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4y+-+24+=+3x+%2B+6+ ALIGN=MIDDLE  ALT=\"+4y+-+24+=+3x+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4y+=+3x+%2B+30+ ALIGN=MIDDLE  ALT=\"+4y+=+3x+%2B+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%283%2F4%29%2Ax+%2B+15%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+%283%2F4%29%2Ax+%2B+15%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "does it go through ( -2,6 )?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%283%2F4%29%2Ax+%2B+15%2F2+ ALIGN=MIDDLE  ALT=\"+y+=+%283%2F4%29%2Ax+%2B+15%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+%283%2F4%29%2A%28-2%29+%2B+15%2F2+ ALIGN=MIDDLE  ALT=\"+6+=+%283%2F4%29%2A%28-2%29+%2B+15%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+-3%2F2+%2B+15%2F2+ ALIGN=MIDDLE  ALT=\"+6+=+-3%2F2+%2B+15%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+12%2F2+ ALIGN=MIDDLE  ALT=\"+6+=+12%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+=+6+ ALIGN=MIDDLE  ALT=\"+6+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Here are plots of the 2 lines:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%283%2F4%29%2Ax+%2B+15%2F2+%2C+-%284%2F3%29%2Ax+%2B+2+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );