# Math Help - Finding the points

1. ## Finding the points

Please, help me with this. I have no idea how to solve it

In what points are the tangent to the ellipse parallel to the line y = x?

2. Originally Posted by Pommac
Please, help me with this. I have no idea how to solve it

In what points are the tangent to the ellipse parallel to the line y = x?
why are the coefficients written that way?

why not just $13x^2 - 12xy + 13y^2 = 2$ ?

in any case, find $\frac{dy}{dx}$ implicitly and set it equal to 1.

solve for x in terms of y or y in terms of x (whichever is easier), and sub the result back into the original equation to solve for the that chosen variable.