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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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How do you find the equation for a direct variation?
find the direct variation equation 3x+y=0
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.
Is y 4x 9 a direct variation?
no. It must be an equation of the form y = kx.
Why does the graph of an equation expressing direct variation always pass through the origin?
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.
Is direct variation a special case?
Direct variation is not a special case.
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.
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 the three ways to represent a direct variation?
equation, table or a graph
Which equation represents a direct linear variation?
Y=1/x
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.
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
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.
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 equation 2y5x 1 represent a direct variation?
Without an equality sign the information given does not represent an equation.
