Is -12x = 6y a direct variation? If so what is the constant of variation.
My answer is yes it is a direct variation and the constant of variation is -2 but I want to make sure. Please help
y=-2x
yes , -2
thank you
Well, let me see if I can shed some light on this equation.
In a direct variation equation, the ratio of the variables remains constant. So, to determine if -12x = 6y is a direct variation, we need to examine the ratio between x and y.
Let's rewrite the equation in a more standard form: 6y = -12x. Now, we can solve for y by dividing both sides of the equation by 6, giving us: y = -2x.
In this form, we can clearly see that the equation is indeed a direct variation, as the ratio of x to y is a constant -2. Therefore, your answer is correct! Well done!
To determine if -12x = 6y represents a direct variation, we need to check if there is a constant ratio between the variables x and y.
In this equation, we can rewrite it in the form y = kx, where k represents the constant of variation. To do this, we can divide both sides of the equation by 6 to isolate y:
-12x = 6y
Dividing by 6: -2x = y
Now we have y = -2x, which is in the form y = kx, where k = -2. Therefore, the equation -12x = 6y represents a direct variation with a constant of variation equal to -2.
So your answer is correct! The constant of variation is -2.
To determine if the equation -12x = 6y represents a direct variation, we need to check if the ratio of the variables is constant.
In a direct variation equation, the variables should have a constant ratio. To find this ratio, we can rearrange the equation to put it in the form y = kx, where k is the constant of variation.
Starting with -12x = 6y, we can divide both sides of the equation by 6 to isolate y:
(-12x) / 6 = (6y) / 6
Simplifying further, we get:
-2x = y
Now, the equation is in the form y = kx, where k represents the constant of variation. In this case, the constant of variation is -2.
Therefore, your answer is correct. The equation -12x = 6y represents a direct variation, with a constant of variation of -2.