Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
3y=-7x-18
In order to determine if y varies directly with x, we need to check if the equation can be written in the form y = kx, where k is the constant of variation.
The given equation is 3y = -7x - 18. We can write it in the form y = ( -7/3 )x - 6 by dividing both sides of the equation by 3.
From this equation, we can see that y does not vary directly with x since it does not have the form y = kx.
To determine whether y varies directly with x, we need to check if the equation can be written in the form y = kx, where k is a constant of variation.
The given equation is 3y = -7x - 18. We can rewrite it as y = (-7/3)x - 6.
Since the equation can be written in the form y = kx, we can conclude that y varies directly with x.
The constant of variation, k, is the coefficient of x, which is -7/3.
Therefore, the equation is y = (-7/3)x.