2y - 3x = 0
Put into Slope-Intercept form:
2y = 3x
Divide by 2:
y = 3/2 * x = 1.5x
3/2, or 1.5 is the constant of variation.
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No, it is not a direct variation.
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.
Yes
y is a sum of constants and so is itself a constant. Its derivative is, therefore, zero.
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.