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For a direct variation, y=kx where k is the constant of variation if x =0 then y=0 and the graph of y=kx passes through the origin. -Indiana Prentice Hall Algebra 2 Text Book.

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Q: Why does the graph of an equation expressing direct variation always pass through the origin?
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Related questions

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.


Does the graph of an inverse variation pass through the origin?

Inverse variation does not pass through the origin, however direct variation always passes through the origin.


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


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.


How does the constant of variation affects the appearance of the graph of a direct variation function?

The formula direct variation is xk=y, where k is the constant of variation.Direct variation functions always pass through the origin. Direct variation functions are linear functions (goes in a straight line), except that they pass through the origin. Regular linear functions don't pass through the origin. That is the only difference.


What do you know about every direct variation equation?

If the two variables are X and Y then the equation is always of the form Y = cX where c is a non-zero constant.


Why is Communication considered continuous?

A majority of our communication is nonverbal. Through actions, tics, silence, and even a lack of action we are always expressing ourselves.


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.


Is a linear relationship always a direct variation?

No.


What is it called when an equation is always true?

In math, an equation that is always true is called an identity.


What a word of An equation that is always true?

Identity equation