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Two variables, x and y are said to be in direct variation with one another if they are related by an equation of the form y = cx where c (>0) is the constant of [direct] variation.
In the coordinate plane, this equation gives rise to a straight line, through the origin, and with a gradient (slope) = c.
What this means that both x and y are 0 together, and that every increase (or decrease) in x results in an increase (decrease) of c times that amount in y.
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When two quantities form a direct variation what is it called?
A direct variation (!) or direct reelationship.
Is y equals 2x plus 5 a direct variation if so what is the constant of variation?
No, it is not a direct variation.
Does every linear equasion represent a direct variation relationship?
I have recently been doing all these direct variation problems but not every linear relationship is a direct variation... But every direct variation is a linear relation!
Can slope k of a direct variation be positive?
The slope of the graph of a direct variation is always positive.
Can a system of two direct variation equations have no solutions?
No. The origin must be a solution for any direct variation.
