Is #5y=-4x# a direct variation equation and if so, what is the constant of variation?

Answer 1

The reqd. constant of variation is #k=-4/5.#

Observe that if #y# varies directly as #x#, i.e., #yprop x#, then using #k!=0# as constant of variation, the eqn. is written #y=kx.# ...(1)
In our case, we are given that, #5y=-4x,# i.e., #y=(-4/5)x.#... (2)
comparing (1) & (2), the reqd. constant of variation is #k=-4/5.#
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Answer 2

Yes, the equation 5y = -4x represents a direct variation. The constant of variation, often denoted as k, is the coefficient of x when the equation is written in the form y = kx. In this case, the constant of variation is -4/5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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