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Is y=3/4x a direct variation? if so, find the constant of variation

User Fechnert
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Final answer:

Yes, the equation y=3/4x represents a direct variation where the constant of variation is 3/4.

Step-by-step explanation:

Direct variation is a term used in mathematics to describe a linear relationship between two variables in which one is a constant multiple of the other. In other words, when y varies directly with x, the equation can be expressed as y = kx, where k is the constant of variation.

In the case of the equation y = ¾ x, this is indeed a direct variation because it fits the form y = kx. Here, the constant of variation k is ¾. This means that as x increases or decreases, y will do so at ¾ the rate of x.

User Scadge
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yes because without a y-intercept it goes through 0. and can you explain the next part?
User Orialys
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