document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=987513>Question 987513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation of a line (a) parallel to and (b) perpendicular to the line 2x+3y=-6 and containing the point (-4, -5).\r<BR>\n" );
document.write( "\n" );
document.write( "I know that the slope for (a) is -2x/3 and the slope for (b) is 3x/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #608264 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=608264\">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=+2x+%2B+3y+=+-6+ ALIGN=MIDDLE  ALT=\"+2x+%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+=+-2x+-+6+ ALIGN=MIDDLE  ALT=\"+3y+=+-2x+-+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+=+-%282%2F3%29%2Ax+-+2+ ALIGN=MIDDLE  ALT=\"+y+=+-%282%2F3%29%2Ax+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Any parallel line has slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2%2F3+ ALIGN=MIDDLE  ALT=\"+-2%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Any perpendicular line has slope = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1%2Fm+=+3%2F2+ ALIGN=MIDDLE  ALT=\"+-1%2Fm+=+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "( -4,-5 )<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "Use general point-slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-%28-5%29+%29+%2F+%28+x+-%28-4+%29+%29+=+-2%2F3+ ALIGN=MIDDLE  ALT=\"+%28+y+-%28-5%29+%29+%2F+%28+x+-%28-4+%29+%29+=+-2%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+%2B+5+%29+%2F+%28+x+%2B+4+%29+=+-2%2F3+ ALIGN=MIDDLE  ALT=\"+%28+y+%2B+5+%29+%2F+%28+x+%2B+4+%29+=+-2%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28+y+%2B+5+%29+=+-2%2A%28+x+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+3%2A%28+y+%2B+5+%29+=+-2%2A%28+x+%2B+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y+%2B+15+=+-2x+-+8+ ALIGN=MIDDLE  ALT=\"+3y+%2B+15+=+-2x+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y+=+-2x+-23+ ALIGN=MIDDLE  ALT=\"+3y+=+-2x+-23+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-%282%2F3%29%2Ax+-+23%2F3+ ALIGN=MIDDLE  ALT=\"+y+=+-%282%2F3%29%2Ax+-+23%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-%28-5%29+%29+%2F+%28+x+-%28-4+%29+%29+=+3%2F2+ ALIGN=MIDDLE  ALT=\"+%28+y+-%28-5%29+%29+%2F+%28+x+-%28-4+%29+%29+=+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+%2B+5+%29+%2F+%28+x+%2B+4+%29+=+3%2F2+ ALIGN=MIDDLE  ALT=\"+%28+y+%2B+5+%29+%2F+%28+x+%2B+4+%29+=+3%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+y+%2B+5+%29+=+3%2A%28+x+%2B+4+%29+ ALIGN=MIDDLE  ALT=\"+2%2A%28+y+%2B+5+%29+=+3%2A%28+x+%2B+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+%2B+10+=+3x+%2B+12+ ALIGN=MIDDLE  ALT=\"+2y+%2B+10+=+3x+%2B+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+3x+%2B+2+ ALIGN=MIDDLE  ALT=\"+2y+=+3x+%2B+2+\"   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%2F2%29%2Ax+%2B+1+ ALIGN=MIDDLE  ALT=\"+y+=+%283%2F2%29%2Ax+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "(-4,-5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-%282%2F3%29%2Ax+-+23%2F3+ ALIGN=MIDDLE  ALT=\"+y+=+-%282%2F3%29%2Ax+-+23%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5+=+-%282%2F3%29%2A%28-4%29+-+23%2F3+ ALIGN=MIDDLE  ALT=\"+-5+=+-%282%2F3%29%2A%28-4%29+-+23%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5+=+8%2F3+-+23%2F3+ ALIGN=MIDDLE  ALT=\"+-5+=+8%2F3+-+23%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-15%2F3+=+-15%2F3+ ALIGN=MIDDLE  ALT=\"+-15%2F3+=+-15%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "(-4,-5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%283%2F2%29%2Ax+%2B+1+ ALIGN=MIDDLE  ALT=\"+y+=+%283%2F2%29%2Ax+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5+=+%283%2F2%29%2A%28-4%29+%2B+1+ ALIGN=MIDDLE  ALT=\"+-5+=+%283%2F2%29%2A%28-4%29+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5+=+-6+%2B+1+ ALIGN=MIDDLE  ALT=\"+-5+=+-6+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5+=+-5+ ALIGN=MIDDLE  ALT=\"+-5+=+-5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );