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)

  (0, 0); (1, 3); (2, 4)

Step-by-step explanation:

The above-listed points are not on a line with constant slope, so do not represent direct variation.

The last choice is not direct variation.

Step-by-step explanation:

Direct variation can be written as y = kx where k is a constant.

The ordered pairs are values of (x, y).

Thus  the first set is direct variation and the rule is

y = -2x.

We see  by substitution that this is the rule:

0 =-2*0 = 0

4 = -2*-2 = 4.

-6 = -2*3 = -6.

We see that, in each case, y/x = -2.

The last set is not direct variation as

y/x = 3/1 = 3 but 4/2 = 2.

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9

15 units use socratic

step-by-step explanation: 15 units