Question
Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
3y=-7x-18
A. yes; 3
B. yes; -7
C. no
D. yes; 7/3
3y=-7x-18
A. yes; 3
B. yes; -7
C. no
D. yes; 7/3
Answers
GPT 3.5
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.
The given equation is 3y = -7x - 18.
We can solve this equation for y by dividing both sides by 3:
y = (-7/3)x - 6.
This equation does not match the form y = kx, so y does not vary directly with x.
Therefore, the answer is C. no.
The given equation is 3y = -7x - 18.
We can solve this equation for y by dividing both sides by 3:
y = (-7/3)x - 6.
This equation does not match the form y = kx, so y does not vary directly with x.
Therefore, the answer is C. no.