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Does the equation y= 2/3x + 1 represent a direct variation?

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Let's begin by listing out the information given to us:


y=(2)/(3)x+1

We proceed by defining a direct variation:

A direct variation refers to a mathematical expression in which a variable is equal to the product of a constant by the other variable. For example,

y = 3x; y = 1/3x; y = 2/3x

However, with the expression y = 2/3x + 1 , we further have "+1" which is separate from the coefficient of x & y. Hence, y = 2/3x + 1 is not a direct variation

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