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
The equation is xy = 22.5
no. It must be an equation of the form y = kx.
Oh, dude, direct variation is when two variables change in the same way. In this case, 5x + 3 = 8y + 3, so technically they are changing in the same way by adding 3 to both sides. So, yeah, I guess you could say it's a direct variation, but like, who really cares, right?
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.
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.
variation
There is only one equation that is given in the question and that equation is not a direct variation.
No. This is not true. It is false. The equation is an example of direct variation.
There are three ways: a table, a graph, and an equation.
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
equation, table or a graph
Y=1/x
Graphs of direct variation pass through the origin so the y-intercept would be 0.
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
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.
Without an equality sign the information given does not represent an equation.