Which of the following correctly indicates whether the set of ordered pairs {(1, 3), (2, 2), (3, 1), (4, 0)} satisfies the requirements for being a linear function and correctly explains why?

The set of ordered pairs {(1, 3), (2, 2), (3, 1), (4, 0)} satisfies the requirements for being a linear function.

Step-by-step explanation:

Given the set of ordered pairs

{(1, 3), (2, 2), (3, 1), (4, 0)}

From the ordered pairs, we determine that:

x             y

1             3

2            2

3            1

4            0

Determine the common difference of y-values:

As the common difference of y-values is same, it means the ordered pairs in the table represents the linear function.

In a nutshell,

Please also check the attached graph. The graph is a straight line, further indicating that it is a linear function.

Therefore, the set of ordered pairs {(1, 3), (2, 2), (3, 1), (4, 0)} satisfies the requirements for being a linear function.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

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