The answer to this question depends on whether x and y are directly or inversely related.
Since you have not provided the relation between the two variables, I will provide the answer in both cases.
1- In case x was directly proportional to y: This means that as x increases, y increases and vice-versa. Translating this into an equation, we would get the following: y = kx where k is the constant of proportionality. Now, we are given that: y = -8 at x = 12 Substitute with these givens in the above equation to get k as follows: -8 = k * 12 k = -8/12 k = -2/3
2- In case x was inversely proportional to y: This means that as x increases, y decreases and vice-versa. Translating this into an equation, we would get the following: y = k / x where k is the constant of proportionality. Now, we are given that: y = -8 at x = 12 Substitute with these givens in the above equation to get k as follows: -8 = k / 12 k = -8*12 k = -96
