document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017089>Question 1017089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose f(x) is a linear function such that f(-1/2)=-7 and f(1)=-3. What is 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 #633437 by </B><A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><B>amarjeeth123(570)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><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=633437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the linear function be a+bx<BR>\n" );
document.write( "We have a-(b/2)=-7............equation 1<BR>\n" );
document.write( "a+b=-3........................equation 2<BR>\n" );
document.write( "Subtracting equation 1 from equation 2 we get,<BR>\n" );
document.write( "b+(b/2)=4<BR>\n" );
document.write( "3b/2=4<BR>\n" );
document.write( "b=8/3<BR>\n" );
document.write( "From equation 2 we get,<BR>\n" );
document.write( "a=-3-8/3=-17/3<BR>\n" );
document.write( "The linear function is (-17/3)+(8/3)x.<BR>\n" );
document.write( "Verification steps:<BR>\n" );
document.write( "a+b=-17/3+8/3=-9/3=-3<BR>\n" );
document.write( "a-(b/2)=-17/3+(8/3)(-1/2)=-21/3=-7<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );