document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=528574>Question 528574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which equation represents the line with a slope of -1/3 that passes through the point (8,8)?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349335 by </B><A HREF=/tutors/aboutme.mpl?userid=lmeeks54><B>lmeeks54(111)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lmeeks54><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=lmeeks54><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The general equation for a straight line is:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
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document.write( "where m = the slope of the line and b = the y intercept (i.e., where x = 0)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Recall, slope = rise/run.  Positive slope, the line goes up to the right (y gets larger as x gets larger).  Negative slope, the line goes down to the right (y gets smaller as x gets larger).<BR>\n" );
document.write( "...<BR>\n" );
document.write( "We are given the slope of - 1/3.  A slope = 1 is a 45 deg line.  A slope > 1 is a steeper line and a slope <1 is a shallower (flatter) line.  In this case, we have a shallow, negative slope (slanting down to the right).  <BR>\n" );
document.write( "...<BR>\n" );
document.write( "None of that helps you determine the equation for the line, but it gives you the context for what you expect to find.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "We know three useful things to help solve this problem:<BR>\n" );
document.write( "...<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "m = -1/3<BR>\n" );
document.write( "line passes through 8, 8; therefore:<BR>\n" );
document.write( "8 = -1/3(8) + b<BR>\n" );
document.write( "...<BR>\n" );
document.write( "add 1/3(8) to both sides so we can solve for b, the y intercept:<BR>\n" );
document.write( "8 + 1/3 (8) = b<BR>\n" );
document.write( "8 + 8/3 = b<BR>\n" );
document.write( "10.67 = b<BR>\n" );
document.write( "...<BR>\n" );
document.write( "put it all together:<BR>\n" );
document.write( "y = -0.33x + 10.67<BR>\n" );
document.write( "...<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Lee </SPAN>\n" );
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