document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173422>Question 173422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> compute x such that a straight line passing thru (2,x)and x-2)has has a slope of -2/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128278 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=128278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> slope intercept form of equation is:<BR>\n" );
document.write( "y = m*x + b<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "m = slope<BR>\n" );
document.write( "b = y intercept( value of y when x = 0)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "m = -2/3 (given)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "the equation to find the slope is:<BR>\n" );
document.write( "slope (m) = (y2-y1)/(x2-x1)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "you have provided me with one of the x values (2)<BR>\n" );
document.write( "you have also provided me with two of the y values:<BR>\n" );
document.write( "those are: x and x-2<BR>\n" );
document.write( "i will call them by a name other than x to avoid confusion.<BR>\n" );
document.write( "instead of x and x-2, call them k and k-2.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "so we have two points:<BR>\n" );
document.write( "(x1,y1) = (2,k)<BR>\n" );
document.write( "(x2,y2) = (x2,k-2)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "we can plug these values into the formula for the slope:<BR>\n" );
document.write( "(y2-y1) / (x2-x1) becomes:<BR>\n" );
document.write( "[(k-2)-k] / (x2-2)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "since the slope = -2/3, then:<BR>\n" );
document.write( "-2 = (k-2)-k)<BR>\n" );
document.write( "and:<BR>\n" );
document.write( "x2-2 = 3<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "solving for k, we get:<BR>\n" );
document.write( "-2 = k-2-k<BR>\n" );
document.write( "-2 = -2<BR>\n" );
document.write( "this is a true statement but we still don't know what k is since any value of k will satisfy this equation (k cancelled out).<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "solving for x2, we get:<BR>\n" );
document.write( "x2 - 2 = 3<BR>\n" );
document.write( "x2 = 5<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "our two points have now become:<BR>\n" );
document.write( "(x1,y1) = (2,k)<BR>\n" );
document.write( "(x2,y2) = 5,k-2)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "since k can be any value, you don't have enough to get one line.<BR>\n" );
document.write( "you can get an infinite number of lines depending on what value you assign to k.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "in order to find the equation of a specific line, you need a minimum of two things:<BR>\n" );
document.write( "the slope (you have that)<BR>\n" );
document.write( "one point (you don't have that).<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "unless i read your problem wrong, you don't have enough informtion to pinpoint the equation for one line.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );