Which of the following sets of ordered pairs is not a direct variation?

- (0,0) (-2,4) (3, -6)
- (1, 1) (-2, -2) (3,3)
- (10, 2) (15,3) (20,4)
- (0,0) (1,3) (2,4)

The  sets of ordered pairs is NOT a direct variation

- (0,0) (1,3) (2,4)

We know that the set of ordered pair are in  direct variation if they lie on a straight line or we can say if the rate of change is constant.

1)

- (0,0) (-2,4) (3, -6)

From the following set of points we see that we get a straight line as:

y= -2x

Hence , the points are in direct variation.

2)

- (1, 1) (-2, -2) (3,3)

Now, these set of ordered points also satisfy the line as:

y=x

Hence, the points are in direct variation.

3)

- (10, 2) (15,3) (20,4)

Now, these set of ordered points also satisfy the line as:

y=(1/5)x

Hence, the points are in direct variation.

4)

- (0,0) (1,3) (2,4)

We find the rate of change of (0,0) and (1,3) as:

The rate of change of (1,3) and (2,4) is:

As the rate of change is not constant.

Hence, the points are not in direct variation.

Hence,  sets of ordered pairs is NOT a direct variation is:

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

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step-by-step explanation:

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step-by-step explanation:

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