Give the equation of an ellipse

Question

Endpoints of the major axis (vertices) at (-2,-4) and (-2,10) and has a minor axis of length 10.

Answer 1

First, find the center: (((-2)+(-2))/2, ((-4)+10)/2) = (-2, 3)

Then, find the length of the major axis: 14 = 2a

The length of minor axis: 10 = 2b

Apply formula, you'll get:

((x+2)²/7²) + ((y-3)²/5²) = 1