Final answer:
To find the value of y when x=12 in a direct variation equation, we can use the formula y = kx where k is a constant. By plugging in the given values, we can find that when x=12, y=3.
Step-by-step explanation:
To solve this problem, we need to use the formula for direct variation, which is given by y = kx, where k is a constant. We are given that when x = -8, y = -2. This gives us the equation -2 = k(-8). Solving for k, we find that k = 1/4. Now we can use this value of k to find the value of y when x = 12. Plugging in the values, we get y = (1/4)(12) = 3. Therefore, when x = 12, y = 3.