find the missing variable of direct variation (2/3,2) and (x.6)

Answer 1

To find the missing variable in direct variation, we can use the formula:

y = kx

where y and x are the variables, and k is the constant of variation.

Given the two points (2/3, 2) and (x, 6), we can plug in the values to the formula:

2 = k * (2/3)
6 = k * x

To solve for k, we can multiply both sides of the first equation by 3/2:

(3/2) * 2 = (3/2) * (k * (2/3))
3 = k

Now, we can substitute k = 3 into the second equation:

6 = 3 * x

Dividing both sides by 3:

2 = x

Therefore, the missing variable is x = 2.