Does y vary directly with x? if
3y=-7x-18
yes:3
yes:-7
no
yes: 7/3
my first thought was no but I question 7/3??
no
If y = -7/3 x then yes, but adding the -6 messes it up.
To see this is true, plug in two values for x and see whether y is the same multiple of the values.
I think the answer is no
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.
In the given equation 3y = -7x - 18, we can divide both sides by 3 to isolate y:
y = (-7/3)x - 6
Now, the equation is in the form y = kx, where k = -7/3. Therefore, y varies directly with x with a constant of -7/3. So, the correct answer is "yes: -7/3".
To determine whether y varies directly with x, we need to check if the equation of the form y = kx, where k is a constant. In the equation 3y = -7x - 18, we can rearrange it to y = (-7/3)x - 6.
Comparing this equation with the form y = kx, we can see that the coefficient of x, which is -7/3, matches the constant k. Therefore, y varies directly with x.
So, the answer is "yes: 7/3".