document.write( "Question 159465: Give the equation of the linear function f(x) if f(0) = 4 and f(4) = 0 \n" ); document.write( "
Algebra.Com's Answer #117690 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Give the equation of the linear function f(x) if f(0) = 4 and f(4) = 0
\n" ); document.write( ":
\n" ); document.write( "Let y = f(x)
\n" ); document.write( ":
\n" ); document.write( "y = mx + b
\n" ); document.write( ":
\n" ); document.write( "When x = 0 and y = 4
\n" ); document.write( "4 = m(0) + b
\n" ); document.write( "therefore
\n" ); document.write( "b = 4
\n" ); document.write( ":
\n" ); document.write( "So we have y = mx + 4
\n" ); document.write( ":
\n" ); document.write( "When x = 4 and y = 0
\n" ); document.write( "0 = m(4) + 4
\n" ); document.write( "therefore:
\n" ); document.write( "m = -1
\n" ); document.write( ":
\n" ); document.write( "f(x) = -1x + 4 is the function
\n" ); document.write( ":
\n" ); document.write( "
\n" ); document.write( "
\n" );