document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39621>Question 39621</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534493947/algebrahomeworkh>INTERMEDIATE ALGEBRA</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> P(6,8), Q(12,16) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25152 by </B><A HREF=/tutors/aboutme.mpl?userid=tran3209><B>tran3209(100)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tran3209><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=25152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The general formula of a linear-equation is : y=ax+b<BR>\n" );
document.write( "To find the equation we have to find a and b.<BR>\n" );
document.write( "Since point P is on this line, replace x and y of P in the formula:8=6a+b (1)<BR>\n" );
document.write( "Since point Q is on this line, replace x and y of Q in the formula:16=12a+b (2)<BR>\n" );
document.write( "From equation (1): 8=6a+b----> 8-6a=b (1')<BR>\n" );
document.write( "Replace b in equation (2) by 8-6a<BR>\n" );
document.write( "(2) 16=12a+(8-6a)---->16=12a+8-6a--->16-8=12a-6a--->8=6a--->a=8/6--->a=4/3<BR>\n" );
document.write( "Replace a by 4/3 in (1'):  8-6(4/3)=b---> b=8-8---> b=0<BR>\n" );
document.write( "Replace a by 4/3 and b by 0 in the general formula: y=4x/3+0---> y=4x/3<BR>\n" );
document.write( "The answer is : y=4x/3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );