document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812816>Question 812816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a linear function f, f(-1)=3 and f(2) = 4.<BR>\n" );
document.write( "Find an equation for f.<BR>\n" );
document.write( "Find f(3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489337 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=489337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have two points<BR>\n" );
document.write( "(-1,3) and (2, 4)<BR>\n" );
document.write( "the general linear equation in slope intercept form is <BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "we have<BR>\n" );
document.write( "3=-1m+b,<BR>\n" );
document.write( "4=2m+b<BR>\n" );
document.write( "solve this system of equations for m and b<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "-1=-3m<BR>\n" );
document.write( "1/3=m<BR>\n" );
document.write( "3=-(1/3)+b<BR>\n" );
document.write( "3 1/3=b<BR>\n" );
document.write( "10/3=b<BR>\n" );
document.write( "now we have<BR>\n" );
document.write( "y=x/3+10/3<BR>\n" );
document.write( "f(3)=3/3+10/3<BR>\n" );
document.write( "f(3)=4 1/3 or 13/3\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );