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Which equation represents a direct variation?

Oy - 4x = 8
Oy + 2 = 7x
Oy - 3x = 0
O y = 5x - 2

User Joe Kirk
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1 Answer

5 votes

Answer:

The equation that represents a direct variation is y = 5x - 2.

In a direct variation, one variable is proportional to the other variable, which means that as one variable increases or decreases, the other variable also increases or decreases in direct proportion. The general form of an equation that represents direct variation is y = kx, where k is a constant of proportionality.

In this case, the equation y = 5x - 2 is in the form of y = kx, where k = 5. This means that as x increases or decreases, y will also increase or decrease proportionally, with a constant rate of change of 5. Therefore, this equation represents a direct variation.

User Moos
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