We want to find all points of y at which the tangent line to y is parallel to the line I- 3y = 4. One way to do this is as follows: a) Find an equation for the collection of all points in the plane for which the gradient Vf is parallel to the normal of r- 3y = 4. You should find that all these points lie on a straight line. b) Find all points on that straight line that also lie on y. The tangent line to y at those points should be parallel to r-3y 4. %3D %3D

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