Question

PLEASE HELP IM STUCK

Answer 1

Direct variation is modeled by the equation y = kx, where k is a constant and x and y vary based on the other's value.

We'll first need to find k, also known as the constant of variation, using our given values of x and y.

6 = k * -7

k = -6/7

Now that we have k, we can plug it in and substitute other values in for x or y. In this case, we'll plug in 4 for x and solve for y.

y = -6/7x

y = -6/7 * (4)

y = -24/7

y = -24/7

Hope this helps!

Answer 2

Answer:

y = -24/7

Step-by-step explanation:

We can use proportions for this question since y varies directly with x. This means that if x changes, y changes along with the x, and vice versa.

When y = 6, x = -7, so the proportion will be 6 : -7.

We need to find the y when x is 4, so our equation will be:

6 : -7 = y : 4

Since the proportion will be the same.

Next, we multiply the inner two numbers, and the outer two numbers, saying that the values are the same.

-7y = 24

y = 24 / -7

y = - 24/7

So y = -24/7 will be our answer!

+ Since the '-' is already written down, the top box will contain 24, and the bottom box will contain 7.