Question

What is the constant of variation (k) for 6y = -12x?

Option 1: -2
Option 2: 2
Option 3: -1
Option 4: 1

Answer 1

The constant of variation (k) for the equation 6y = -12x is -2, which is found by simplifying the equation to the form y = kx.

Step-by-step explanation:

The question requires determining the constant of variation (k) for the equation 6y = -12x. The constant of variation in a direct variation equation like y = kx can be found by isolating y and determining the coefficient of x. In the equation given, we can divide both sides by 6 to isolate y, resulting in y = -12x/6. Simplifying -12x/6 gives us y = -2x. Therefore, the coefficient of x, which is also the constant of variation (k), is -2.