1. The problem statement, all variables and given/known data The ellipsoid 4x^2 + 2y^2 + z^2 = 16 intersects the plane y = 2 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (1,2,2) 2. Relevant equations x = x0 + at y = y0 + bt z = z0 + ct 3. The attempt at a solution Well i know that x0,y0 and z0 are given by the point(1,2,2) and that's pretty much it. I dont know how to use the information given in the first part of the question. I put y=2 in the ellipsoid equation and got 4x^2 + z^2 = 8. Now what?