document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872791>Question 872791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the line which passes through the point of intersection of the lines x-2y-4 = 0 and 4x-y-4 = 0  and satisfying the additional conditions<BR>\n" );
document.write( "a) parallel to the line 16x -11y +3 =0<BR>\n" );
document.write( "b) perpendicular to the line 9x + 22y - 8 =0 <BR>\n" );
document.write( "Can you please help me out? Thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526426 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=526426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the (x,y) location of the intersection<BR>\n" );
document.write( "of the lines:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+2y+-+4+=+0+ ALIGN=MIDDLE  ALT=\"+x+-+2y+-+4+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x+-+y+-+4+=+0+ ALIGN=MIDDLE  ALT=\"+4x+-+y+-+4+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Multiply (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x+-+y+-+4+=+0+ ALIGN=MIDDLE  ALT=\"+4x+-+y+-+4+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4x+%2B+8y+%2B+16+=+0+ ALIGN=MIDDLE  ALT=\"+-4x+%2B+8y+%2B+16+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7y+%2B+12+=+0+ ALIGN=MIDDLE  ALT=\"+7y+%2B+12+=+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+=+-12%2F7+ ALIGN=MIDDLE  ALT=\"+y+=+-12%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Plug this back into (1) or (2)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+2%2A%28-12%2F7%29+-+4+=+0+ ALIGN=MIDDLE  ALT=\"+x+-+2%2A%28-12%2F7%29+-+4+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+24%2F7+-+28%2F7+=+0+ ALIGN=MIDDLE  ALT=\"+x+%2B+24%2F7+-+28%2F7+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+4%2F7+=+0+ ALIGN=MIDDLE  ALT=\"+x+-+4%2F7+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+4%2F7+ ALIGN=MIDDLE  ALT=\"+x+=+4%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The intersection is at ( 4/7, -12/7 )<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "(a) Find the slope of this line<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16x+-+11y+%2B+3+=+0+ ALIGN=MIDDLE  ALT=\"+16x+-+11y+%2B+3+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11y+=+16x+%2B+3+ ALIGN=MIDDLE  ALT=\"+11y+=+16x+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%2816%2F11%29%2Ax+%2B+3%2F11+ ALIGN=MIDDLE  ALT=\"+y+=+%2816%2F11%29%2Ax+%2B+3%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16%2F11+ ALIGN=MIDDLE  ALT=\"+16%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "You can use the point-slope formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+%28-12%2F7%29+%29+%2F+%28+x+-+4%2F7+%29+=+16%2F11+ ALIGN=MIDDLE  ALT=\"+%28+y+-+%28-12%2F7%29+%29+%2F+%28+x+-+4%2F7+%29+=+16%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2B+12%2F7+=+%28+16%2F11+%29%2A%28+x+-+4%2F7+%29+ ALIGN=MIDDLE  ALT=\"+y+%2B+12%2F7+=+%28+16%2F11+%29%2A%28+x+-+4%2F7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2B+12%2F7+=+%2816%2F11%29%2Ax+-+%2816%2F11%29%2A%284%2F7%29+ ALIGN=MIDDLE  ALT=\"+y+%2B+12%2F7+=+%2816%2F11%29%2Ax+-+%2816%2F11%29%2A%284%2F7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+77+ ALIGN=MIDDLE  ALT=\"+77+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+77y+%2B+11%2A12+=+7%2A16%2Ax+-+4%2A16+ ALIGN=MIDDLE  ALT=\"+77y+%2B+11%2A12+=+7%2A16%2Ax+-+4%2A16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+77y+=+112x+-+132+-+64+ ALIGN=MIDDLE  ALT=\"+77y+=+112x+-+132+-+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+77y+=+112x+-+196+ ALIGN=MIDDLE  ALT=\"+77y+=+112x+-+196+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+112x+-+77y+-+196+=+0+ ALIGN=MIDDLE  ALT=\"+112x+-+77y+-+196+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "That's it unless I made a mistake.<BR>\n" );
document.write( "That's all I have time for\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );