document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260398>Question 260398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line through (2,a) and (9,b).<BR>\n" );
document.write( "y=___________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191851 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=191851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line through (2,a) and (9,b).<BR>\n" );
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document.write( "|x y 1|<BR>\n" );
document.write( "|2 a 1| = 0<BR>\n" );
document.write( "|9 b 1|<BR>\n" );
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document.write( "x(a-b) - y(2-9) + 2b-9a = 0<BR>\n" );
document.write( "xa-xb + 7y + 2b-9a = 0<BR>\n" );
document.write( "7y = (b-a)x + 9a - 2b<BR>\n" );
document.write( "y = ((b-a)/7)*x + 9a/7 - 2b/7<BR>\n" );
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document.write( "The usual method:<BR>\n" );
document.write( "m = (b-a)/7<BR>\n" );
document.write( "Use y=mx+B and either point to find B the y-intercept<BR>\n" );
document.write( "a = 2(b-a)/7 + B<BR>\n" );
document.write( "B = (7a - 2(b-a))/7<BR>\n" );
document.write( "y = mx + B<BR>\n" );
document.write( "y = ((b-a)/7)*x + (7a - 2(b-a))/7<BR>\n" );
document.write( "y = ((b-a)/7)*x + (9a - 2b)/7 same answer\r<BR>\n" );
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