document.write( "Question 1176801: Compute f(x+h)-f(x)/h if f(x) = ax+b \n" ); document.write( "

Algebra.Com's Answer #804616 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "First find f(x+h) by substituting (x+h) for x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then substitute in the expression at the top:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now simplify. Remove the inner parentheses:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Remove the other parentheses:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "   <-- answer\r\n" );
document.write( "\r\n" );
document.write( "Notice that the slope of f(x) = ax+b is a [Thinking of y=mx+b]\r\n" );
document.write( "\r\n" );
document.write( "This demonstrates that the difference quotient of a linear function\r\n" );
document.write( "is always equal to the slope of the line. [I just threw that in.]\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );