Pre calculus

Question

1. Find the standard form of the equation of the ellipse satisfying the given conditions.

Endpoints of major axis: (10, -3) and (-2, -3); endpoints of minor axis: (4, -1) and (4, -5)

Answer 1

(x-4)^2/36 + (y+3)^2/4 = 1

 

First I found the center of the ellipse by using the midpoint formula on the endpoints of the major axis

(4, -3)

 

then to find the numbers under the quantities squared I found the distance from the center to the end point - on the x axis this was 6 and on the y -axis it was 2

I'm pretty sure you square those (although it has been a while since I've solved these :)