# How do you determine whether the equation #7x + 2y = 0# represents a direct variation and if it does, how do you find the constant of variation?

7x + 2y = 0 2y = -7x --> y = -7/2 *(x). This is a direct variation. The constant of variation is (-7/2).

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To determine if the equation represents a direct variation, check if it can be written in the form y = kx, where k is a constant. If it can, then it represents a direct variation. In this case, rearrange the equation to isolate y, then compare it to the form y = kx. If they match, it's a direct variation. The constant of variation (k) is the coefficient of x when the equation is in the form y = kx. So, for 7x + 2y = 0, rearranging to isolate y gives y = -3.5x, indicating it's a direct variation with a constant of variation of -3.5.

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To determine if the equation ( 7x + 2y = 0 ) represents a direct variation, we need to rewrite it in the form ( y = kx ), where ( k ) is the constant of variation. If the equation can be written in this form, it represents a direct variation, and ( k ) is the constant of variation.

To find the constant of variation ( k ), divide both sides of the equation by ( x ) to isolate ( y ). Then, the coefficient of ( x ) will be ( k ).

So, for the equation ( 7x + 2y = 0 ), we rearrange it to solve for ( y ):

[ 7x + 2y = 0 ] [ 2y = -7x ] [ y = -\frac{7}{2}x ]

Now, comparing it with the form ( y = kx ), we see that ( k = -\frac{7}{2} ). Therefore, the equation ( 7x + 2y = 0 ) represents a direct variation, and the constant of variation ( k ) is ( -\frac{7}{2} ).

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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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- How do you find the slope of (1,2) and (-2,4)?
- Is the line with equation y = -8 horizontal or vertical?
- How do you find the x and y intercepts of #6x-y=-7#?

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