document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905827>Question 905827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line that passes through the intersection of the given pair of line and satisfies the other given condition.\r<BR>\n" );
document.write( "\n" );
document.write( "x-y-4=0, 2x+y-5=0; passes through the origin </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549438 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=549438\">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=+x+-+y+-+4+=+0+ ALIGN=MIDDLE  ALT=\"+x+-+y+-+4+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+y+-+5+=+0+ ALIGN=MIDDLE  ALT=\"+2x+%2B+y+-+5+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Add the equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+-+9+=+0+ ALIGN=MIDDLE  ALT=\"+3x+-+9+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+=+9+ ALIGN=MIDDLE  ALT=\"+3x+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+3+ ALIGN=MIDDLE  ALT=\"+x+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+y+-+4+=+0+ ALIGN=MIDDLE  ALT=\"+x+-+y+-+4+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+y+-+4+=+0+ ALIGN=MIDDLE  ALT=\"+3+-+y+-+4+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3+-+4+ ALIGN=MIDDLE  ALT=\"+y+=+3+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-1+ ALIGN=MIDDLE  ALT=\"+y+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The line you need goes through<BR>\n" );
document.write( "( 3, -1 )<BR>\n" );
document.write( "( 0, 0 )<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Use the general point-slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+%28-1%29+%29+%2F+%28+x+-+3+%29+=+%28+0+-+%28-1%29+%29+%2F+%28+0+-+3+%29+ ALIGN=MIDDLE  ALT=\"+%28+y+-+%28-1%29+%29+%2F+%28+x+-+3+%29+=+%28+0+-+%28-1%29+%29+%2F+%28+0+-+3+%29+\"   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+1+%29+%2F+%28+x+-+3+%29+=+1+%2F+%28-3%29+ ALIGN=MIDDLE  ALT=\"+%28+y+%2B+1+%29+%2F+%28+x+-+3+%29+=+1+%2F+%28-3%29+\"   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+1+%29+=+x+-+3+ ALIGN=MIDDLE  ALT=\"+-3%2A%28+y+%2B+1+%29+=+x+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3y+-+3+=+x+-+3+ ALIGN=MIDDLE  ALT=\"+-3y+-+3+=+x+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+3y+=+0+ ALIGN=MIDDLE  ALT=\"+x+%2B+3y+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "Does line pass through origin?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%2B+3%2A0+=+0+ ALIGN=MIDDLE  ALT=\"+0+%2B+3%2A0+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "Does line pass through ( 3, -1 ) ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2B+3%2A%28-1%29++=+0+ ALIGN=MIDDLE  ALT=\"+3+%2B+3%2A%28-1%29++=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+3+=+0+ ALIGN=MIDDLE  ALT=\"+3+-+3+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );