Question

MEDAL if you know how to do this!!!!!! Consider the curve x^2+4xy+y^2=13. Which one of these three points is on this curve: (1,1),(2,1),(1,-2) and why? Find slope of the tangent line to the curve at that point.

Answer 1

Have you considered substituting the values of the points into the equation?

Answer 2

When im substituting what number should I get at the end? 13

Answer 3

What does "=" mean? Substitute for x and y and see if you get 13.

Answer 4

and then how do I find the slope

Answer 5

You'll have to break out your Implicit Differentiation.