document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=398240>Question 398240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line through (2,a) and (9,b). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #282188 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=282188\">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( "slope = (b-a)/(9-2) = (b-a)/7<BR>\n" );
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document.write( "Form y = mx+k<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute and solve for \"k\":<BR>\n" );
document.write( "a = [(b-a)/7]2 + k<BR>\n" );
document.write( "a = (2/7)(b-a) + k<BR>\n" );
document.write( "a = (2/7)b-(2/7)a + k<BR>\n" );
document.write( "(9/7)a-(2/7)b = k<BR>\n" );
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document.write( "k = (9a-2b)/7<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "y = [(b-a)/7]x + (9a-2b)/7<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ <BR>\n" );
document.write( " </SPAN>\n" );
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