document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872789>Question 872789</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)passes through the origin <BR>\n" );
document.write( "b) passes through the point (4,-6)<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 #526446 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=526446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-2y=4<BR>\n" );
document.write( "and<BR>\n" );
document.write( "4x-y=4<BR>\n" );
document.write( "--<BR>\n" );
document.write( "[ x-2y=4 ]<BR>\n" );
document.write( "[ 8x-2y=8 ]\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x-2y-%28x-2y%29=4 ALIGN=MIDDLE  ALT=\"8x-2y-%28x-2y%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=4 ALIGN=MIDDLE  ALT=\"7x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4x-4 ALIGN=MIDDLE  ALT=\"y=4x-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=4%284%2F7%29-4 ALIGN=MIDDLE  ALT=\"y=4%284%2F7%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=16%2F7-28%2F7 ALIGN=MIDDLE  ALT=\"y=16%2F7-28%2F7\"   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( "Intersection point, (4/7,-12/7).\r<BR>\n" );
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document.write( "The line formed by the found point and the origin:<BR>\n" );
document.write( "In this situation, y intercept is zero.<BR>\n" );
document.write( "y=mx, and we can use slope formula to easily find slope; or we can see the slope from the found point.<BR>\n" );
document.write( "From the origin, that point is found on the slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2F4=-3 ALIGN=MIDDLE  ALT=\"-12%2F4=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "(a) Answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-3x%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(b) is not much harder. Just that the slope will be different, and y-intercept will not be zero but something else. </SPAN>\n" );
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