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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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∙ 13y ago
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When two quantities form a direct variation what is it called?
A direct variation (!) or direct reelationship.
Is y equals 2x plus 5 a direct variation if so what is the constant of variation?
No, it is not a direct variation.
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!
Can slope k of a direct variation be positive?
The slope of the graph of a direct variation is always positive.
Can a system of two direct variation equations have no solutions?
No. The origin must be a solution for any direct variation.
When two quantities form a direct variation what is it called?
A direct variation (!) or direct reelationship.
Is direct variation a special case?
Direct variation is not a special case.
Is y equals 3x direct variation?
Yes, it is direct variation.
Is y equals 2x plus 5 a direct variation if so what is the constant of variation?
No, it is not a direct variation.
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!
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).
What is the difference 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 .
What does the k represent in the direct variation ykx?
The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y=kx (or y=kx ) where k is the constant of 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 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.
How do you find the equation for a direct variation?
find the direct variation equation 3x+y=0
