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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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โˆ™ 2011-02-11 17:39:59
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Related questions

When two quantities form a direct variation what is it called?

A direct variation (!) or direct reelationship.


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!


What is the difference between direct variation and inverse variation?

Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .


Is y equals 2x plus 5 a direct variation if so what is the constant of variation?

No, it is not a direct variation.


Is direct variation a special case?

Direct variation is not a special case.


Is y equals 3x direct variation?

Yes, it is direct variation.


How do you do a direct variation with an inverse variation problem?

If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).


How do you solve the direct variation y equals 5x plus 1?

y = 5x + 1 is nota direct variation.y = 5x + 1 is nota direct variation.y = 5x + 1 is nota direct variation.y = 5x + 1 is nota direct variation.


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


Can slope k of a direct variation be positive?

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


Can ax plus by equals c be a direct variation if a and b and c does not equal 0?

No, direct variation is "y=ax." In direct variation a equals any real constant, b=1, and c must equal zero. If any of thee conditions are changed, it is not direct variation.


Is the problem y equals 3x a direct variation if so what is the constant of variation?

y=3x is a direct variation in that y varies directly with x by a factor of 3. Any linear equation (a polynomial of degree 1, which is a polynomial equation with a highest exponent of 1), is a direct variation of y to x by some constant, and this constant is simply the coefficient of the "x" term. Other examples: y=(1/2)x is a direct variation, and the constant of variation is 1/2 y=-9x is a direct variation, and the constant of variation is -9


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.


Is 20 a direct variation?

No. It is a single number. For a direct variation you need a minimum of two pairs of ordered numbers.


Can you have a negative coefficient in a direct variation?

Yes, you can have a negative coefficient in a direct variation. So if you had y = -7x, that would be a direct variation. If you have y = -x, I do not know, if that is what you mean. Hope it helped.


Which of these equations is a direct variation y equals -8x plus 1?

There is only one equation that is given in the question and that equation is not a direct variation.


What do all direct variation graphs have in common?

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


Can a system of two direct variation equations have no solutions?

No. The origin must be a solution for any direct variation.


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 makes a decreasing linear relationship a direct variation?

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


What is an example of an everyday life example of direct variation?

If you are paid on an hourly rate, the number of hours that you work and your pay will be in direct variation.


How do you find the equation for a direct variation?

find the direct variation equation 3x+y=0


What is the difference between direct variation and direct proportion?

im not say that defferent.my question is inverse variation as a proportion.pls answerbecause i dont know the answer


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


In a table if the ratios weren't equivalent would it still be direct variation?

No; each ratio has to be the same for a direct variation.