Question

Find the tangent line to the ellipse defined by 3x^2 + 5y^2 = 17 at the point (-2, 1).

Answer 1

6 x dx/dx + 10 y dy/dx = 0

6 (-2) + 10 (1) dy/dx = 0
10 * slope = 12
slope = 1.2
y = 1.2 x + b
1 = 1.2(-2) + b
solve for b