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

x: 1 , 3 , 4
y: 8, 6, -1

answer choices:
a. −3
b. negative two thirds
c. three over two
d. 3

The slope between the points where x=1 and where x=4 is :

-3

i.e. option: A is the correct answer.

Step-by-step explanation:

Let Y=f(X)

We are given a table of values as:

X: 1 , 3 , 4

Y: 8, 6, -1

Let m represents the slope .

We know that the slope between the points x=a and x=b is give by:

Here we are asked to find the slope between x=1 and x=4

i.e. we have:

a=1     and   b=4

f(a)=8   and    f(b)= -1

Hence, the slope between x=1 and x=4 is calculated as:

Hence, the slope is:

-3

step-by-step explanation: