# Math Help - A curve through a point

1. ## A curve through a point

The curve $xy(x+y-4) = k$ passes through the point $(3,3)$. Find the value of $k$. Would this be as simple as just plugging $(3,3)$ back into the equation to give the value $k$ at the point $(3,3)$ ?

2. Yes.

3. I would agree with Pickslides but that would make the answer wrong!

4. Hence, I will not agree with Pickslides!

No matter what point you choose on the curve,
placing the co-ordinates of the point into the equation
must always give the same value of k.

Hence, given the point (3,3) is on the curve,
it will yield the same constant k that any other point on the curve will yield.