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A direct variation is a linear relationship in which y-intercept is always 0.

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∙ 13y ago

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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.


How do you know if the equation is a direct variation?

When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. y=2x is direct variation y=x+2 is not direct variation


Which of the following represents a direct variation function?

Any function of the form Y = cX where X and Y are variables and c is a constant.


Does the graph of a direct variation pass through the origin?

yes, a graph of a direct variation must pass through the origin because direct variation is always in form of y=mx where x and y are variables and m is a constant.


What does the math term direct variation mean?

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.


How do you use a table of data to check whether the relationship between two variables is a direct variation?

if it passes through (0,0) then it is a direct variation


Does ten and three fourths show direct variation?

No. Direct variation describes a relationship between two variables. It has nothing to do with the value of a single number.


What is the difference between direct variation and indirect variation?

Direct variation occurs when two variables change in the same direction; as one increases, the other also increases, typically expressed as ( y = kx ), where ( k ) is a constant. Indirect variation, or inverse variation, happens when one variable increases while the other decreases, represented as ( y = \frac{k}{x} ). In direct variation, the ratio of the two variables remains constant, while in indirect variation, the product of the two variables remains constant.


Is y9x 1 a direct variation function?

No.


How do you find the constant and slope for direct variation equations?

For a direct variation equation the constant MUST be 0. Then the ratio of a pair of values of the two variables is the slope.


Can slope k of a direct variation be positive?

The slope of the graph of a direct variation is always positive.


How is a direct variation a function?

A direct variation between two variables, X and Y, may be expressed in the form Y = c*X where c is some known, constant. This is a mapping from the set of values of X to the set of values of Y such that for each value of X there is only one value of Y - which is c*X. Such a relationship is a function.