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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

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โˆ™ 2012-03-12 23:19:49
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Q: How do you know if the equation is a direct variation?
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Related questions

How do you know if an equation is direct variation?

There are three ways: a table, a graph, and an equation.

How do you find the equation for a direct variation?

find the direct variation equation 3x+y=0

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.

The equation y 8x is an example of inverse variation is this true?

No. This is not true. It is false. The equation is an example of direct variation.

What the three ways to represent a direct variation?

equation, table or a graph

How do you know if x and y are direct variation?

Without the rest of the equation it is not possible to tell. * * * * * If the equation is in the form y = k*x where k is a non-zero constant, then it is.

What is the y-intercept of the graph of a direct variation equation?

Graphs of direct variation pass through the origin so the y-intercept would be 0.

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.

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 equation 2y5x 1 represent a direct variation?

Without an equality sign the information given does not represent an equation.

Is the equation 3x-6y0 a direct variation?

Without an equality sign the given expression can't be considered to be an equation.

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.

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