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Is the direct variation of two variables always a linear function?
YES...A direct variation is a linear relationship in which y-intercept is always 0.
Can slope k of a direct variation be positive?
The slope of the graph of a direct variation is always positive.
Does y equal 1X show direct variation?
Yes. y = 1x is the same as y = x which is the simplest case of direct variation. If you consider the equation y = mx + b, then a direct variation will always have b = 0 (i.e. the graph goes through the origin). The value of m is called the "constant of variation", and the equation is usually written as y = kx.
What type of graph has direct variation?
The statement "y varies directly as x," means that when x increases, y increases by the same factor. In other words, y and x always have the same ratio where k is the constant of variation.
What do you mean when you say that the coefficient of variation has no units?
Suppose the mean of a sample is 1.72 metres, and the standard deviation of the sample is 3.44 metres. (Notice that the sample mean and the standard deviation will always have the same units.) Then the coefficient of variation will be 1.72 metres / 3.44 metres = 0.5. The units in the mean and standard deviation 'cancel out'-always.
