Question

Based on the table of values below, find the slope between points where x = 1 and where x = 4.

x y
1 8
3 6
4 −1

answer choices:
−3

-2/3

3/2

3

Answer 1

I believe they want the average rate of change here between 1 and 4

\[\large \frac{f(b) - f(a)}{b - a}\]

b = 4
a = 1

So what does the function equal when x= 4? From the table we see -1
What about when x = 1? From the table we have 8

So

\[\large \frac{-1 - 8}{4 - 1} = \frac{-9}{3} = -3\]

Answer 2

thank you so much! (:

Answer 3

Anytime :)