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The following table shows the values of y for different values of x:



x y

0 –3

1 0

2 3



Which statement best explains whether the table represents a linear function or a nonlinear function?

It represents a linear function because its points are not on a straight line.

It represents a nonlinear function because its points are on a straight line.

It represents a linear function because its points are on a straight line.

It represents a nonlinear function because its points are not on a straight line.

Verified Answer :

The correct answer is C

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Answer:

C. It represents a linear function because its points are on a straight line.

Explanation:

Applying any two of the three points in the table to the following equation, gives us the slope constant "m" which later can be used to determine a linear equation

\((0-(-3)) = m ( 1 - 0)\\m =3\\y -(- 3) = 3(x - 0)\\y = 3x - 3\)

The linear function above is valid for all of the points shown in the table and therefore they can be plotted in a straight line.

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