SOLUTION: Hi Can I have some help with a linear function is given? g(x) = -7x + 8 (a) Find the average rate of change of the function between x = a and x = a + h. (b) Find the slope

Question 126902: Hi Can I have some help with a linear function is given?
g(x) = -7x + 8
(a) Find the average rate of change of the function between x = a and x = a + h.

(b) Find the slope of the line
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
g(x) = -7x + 8
(a) Find the average rate of change of the function between x = a
and x = a + h.
-----
Average rate = [g(a+h)-g(a)/[(a+h)-a]= [g(a+h)-g(a)]/h
-------------
g(a+h) = -7(a+h)+8 = -7a-7h+8
g(a) = -7a+8
----------
Average rate =[(-7a-7h+8)-(-7a+8)]/h = -7h/h = -7
----------------------------

(b) Find the slope of the line
Since g(x) =-7x+8, the slope is -7
==================
Cheers,
Stan H.
RELATED QUESTIONS
Hi. I'm having some difficulty with this problem, Can you help? A function is given... (answered by stanbon)

A linear function is given. (a) Find the average rate of change of the function between (answered by venugopalramana)

Hi Can I have some help with the following function? A function f is given. f(x) =... (answered by jim_thompson5910)

A linear function is given. a. Find the average rate of change of the function x=a and (answered by stanbon)

Hi! A function is given below. Determine the average rate of change of the function... (answered by solver91311)

I know there is not a section, but if anyone can help with the following problem, it will (answered by ilana)

Hi Can I have some help with this function? A function f is given, and the indicated... (answered by stanbon)

A function is given below. Determine the average rate of change of the function between x (answered by stanbon)

I dont know what section or type of problem this is... But any help would be greatly... (answered by richard1234)