determine whether y varies directly with x if so find the constant of variation k 3y=-7x-18
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.
To determine whether y varies directly with x, we need to check if the equation can be written in the form of y = kx, where k is the constant of variation.
Given the equation: 3y = -7x - 18
Let's rearrange the equation to isolate y:
3y = -7x - 18
Divide both sides by 3:
y = (-7/3)x - 6
Comparing the equation to the form of y = kx, we can see that y does not directly vary with x, as it is not in the form y = kx. Therefore, y does NOT vary directly with x.