YES...
A direct variation is a linear relationship in which y-intercept is always 0.
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Any function of the form Y = cX where X and Y are variables and c is a constant.
Two variables, X and Y, are in direct variation if Y = kX for some constant k. The graph of Y as a function of X will be a straight line through the origin.
if it passes through (0,0) then it is a direct variation
No.
The slope of the graph of a direct variation is always positive.