# Math Help - linear function

1. ## linear function

Suppose that g is the linear function g(x)=mx+b.

(a) Show that g'(a)= lim_h->0 g(a+h)-g(a)/h=m for every value of a.

(b) Interpret the result in part (a) in terms of slopes and rates of change.

I do not understand how do I make mx+b equal that equation

2. Originally Posted by asweet1
Suppose that g is the linear function g(x)=mx+b.

(a) Show that g'(a)= lim_h->0 g(a+h)-g(a)/h=m for every value of a.

(b) Interpret the result in part (a) in terms of slopes and rates of change.

I do not understand how do I make mx+b equal that equation
Can you evaluate:

$f'(x)=\lim_{h->0}\frac{[m(x+h)+b] - [mx +b]}{h}$

??

It should be easy to show that this is equal to $m$