determine whether y varies directly with x if so find the constant of variation k 3y=-7x-18

Answer 1

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 the constant of variation.

Given the equation 3y = -7x - 18, divide both sides of the equation by 3 to solve for y:

y = (-7/3)x - 6

Now we can see that y does not vary directly with x since it cannot be written in the form y = kx. Therefore, there is no constant of variation, k.