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Q: Is y equals 2x plus 5 a direct variation if so what is the constant of variation?

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No, direct variation is "y=ax." In direct variation a equals any real constant, b=1, and c must equal zero. If any of thee conditions are changed, it is not direct variation.

No.

Yes

Yes.

There is only one equation that is given in the question and that equation is not a direct variation.

Direct variation refers to two variable quantities have a constant (unchanged) ratio, in which a variable "varies directly with the other."In order to have a direct variation, the constant of variation must be not equal to 0 in the equation y=kx, where k is the constant.When you try to put 2x+3y=0 into that formula (y= form), you get:2x+3y=03y=-2x ;Subtract the 2xy=(-2/3)x ;Divide by 3Your constant of variation is -2/3, and since it is less than 0, it is does variate directly. Therefore, y varies directly as x.

y = 5x + 1 is nota direct variation.y = 5x + 1 is nota direct variation.y = 5x + 1 is nota direct variation.y = 5x + 1 is nota direct variation.

2y - 3x = 0Put into Slope-Intercept form:2y = 3xDivide by 2:y = 3/2 * x = 1.5x3/2, or 1.5 is the constant of variation.

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No, y+2=x does not show direct variation. In direction variation you need to be able to multiply y by something to get x. In the question y+2=x, you have to add 2 to y to get x, which is not multiplying.)

Yes.Here two variables X & Y are related in such a way that the ratio of their values always remains the same.

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