document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062053>Question 1062053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> at what point do y=.4x+-2.4 and y=-1x+6 intersect <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676827 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> They intersect when the x and y values match.  Setting the two functions equal to each other fixes the y value, then we can solve for x:\r<BR>\n" );
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document.write( "   y = 0.4x-2.4 = -x + 6<BR>\n" );
document.write( "            1.4x = 8.4<BR>\n" );
document.write( "                 x = 6\r<BR>\n" );
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document.write( "y = 0.4(6) - 2.4 = 2.4 - 2.4 = 0    so (6,0) is where they intersect.\r<BR>\n" );
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document.write( "Ans:  The two lines intersect at (6,0)<BR>\n" );
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document.write( "Check:   Plug x=6 into the other function, just to be sure it produces y=0:<BR>\n" );
document.write( "             y = -6+6 = 0  (ok) </SPAN>\n" );
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