Question

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Answer 1

The ordered pair that represents points on the graph of the function 2·x = -(2/3)·y  which is a proportional relationship are; (2, -6), (-1, 3), (0, 0), (-2, 6)

What  is a proportional relationship?

A proportional relationship is a function that consists of ordered pairs (x, y), such that the ratio y/x is the same within the range and domain of the function.

The specified equation is presented as follows;

$2\cdot = -\dfrac{2}{3} \cdot y$

Making y the subject indicates;

$y = -\dfrac{3}{2} \times (2\cdot x) = -3\cdot x$

y =- -3·x

y/x = -3

The above equation indicates that the relationship is a proportional relationship

Therefore, the equation, y = -3·x indicates that the y-intercept is  at the point (0, 0)

The coordinates of a point on the graph is therefore; thew point  (0, 0)

The other ordered pair that  corresponds with the equation, y/x = -3, includes;

The point (2, -6)  from which we get; -6/2 = -3

At the point (-2, 6) , we get, 6/(-2) = -3

At the point (-1, 3), we get; 3/(-1) = -3

The points (2, -6), (-1, 3), and (-2, 6) are also points on the graph of the equation  $2\cdot = -\dfrac{2}{3} \cdot y$

Learn more about proportional relationships here:

brainly.com/question/28777033

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