Chaithraln2499 wrote:
what about the other options? even if we plug in other points we would still get a value for K right
Be careful. The question doesn't ask us to find the value of k. In fact, the question is telling us that k can have more than one value.
In fact if we plug the coordinates of each answer choice into the original equation, we get a variety of values of k.
For example, plugging in the coordinates for answer choice A, we get k = 3.
Plugging in the coordinates for answer choice B, we get k = any value
Plugging in the coordinates for answer choice C, we get k = 3
Plugging in the coordinates for answer choice D, we get k = -4
Plugging in the coordinates for answer choice E, we get k = -0.5