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if the line runs through the origin it is a direct variation no matter if it is increasing or decreasing

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Q: What makes a decreasing linear relationship a direct variation?
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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!


Is a linear relationship always a direct variation?

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If the functional relationship is of the form y = cx where c is the constant of variation. In graphical form, it is a straight line through the origin.


Is a linear function a direct variation?

yes * * * * * No, it is not. In a direct variation, if one of the variables is 0, the other MUST also be 0. In a linear function, they will be the intercepts.


What do all direct variation graphs have in common?

All direct variation graphs are linear and they all go through the origin.


Difference between the graphs of linear equations and a direct variation?

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