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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 every linear relationship a direct variation?

no.


Why isn't every linear relationship a direct variation?

The line doesn't go through the origin


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.


Is a linear relationship always a direct variation?

No.


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 is Linear and Non-Linear Relationships?

A linear relationship means that the slope of the line is proportional, which means that the line is straight. In contrast to the linear realtionship, the non-linear relationship's slope is not proportional and the line will curved and not straight. Formula of calculating the slope is the difference of y divided by the difference of x.


What is a non linear realtionship?

A nonlinear relationship is one that cannot be expressed using a line. y=3x is a linear relationship between x and y. y = log(x) is nonlinear.


When is a linear function considered to be a direct variation?

Direct variation means that a linear function can be written as y = kx. The y-intercept must be (0, 0). The constant, k, is the slope.


Which equation represents a direct linear variation?

Y=1/x


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?

Linear has a slope direct does not but both go through the orgin