# How do you graph the ellipse #x^2/169+y^2/25=1# and find the center, the major and minor axis, vertices, foci and eccentricity?

##### 1 Answer

Please see below.

#### Explanation:

This is the equation of an ellipse of the form

As

Hence, this is an equation of an ellipse, whose center is

Vertices are

Eccentricity is

and fociie are

We can mark the four vertices, if so desired a few more points by using the equation

The ellipse appears as shown below:

graph{(x^2/169+y^2/25-1)((x+13)^2+y^2-0.04)((x-13)^2+y^2-0.04)(x^2+(y+5)^2-0.04)(x^2+(y-5)^2-0.04)((x+12)^2+y^2-0.04)((x-12)^2+y^2-0.04)=0 [-20, 20, -10, 10]}