Question

Can you please help me with 54It says toFor the following exercises given the graph of the ellipse, determine its equation

Answer 1

The ellipse intercepts are (0,7), (5,0), (0,-7) and (-5,0)

The general equation for an ellipse with center (0,0) and width 2a and height 2b is given by:

`(x^2)/(a^2)+(y^2)/(b^2)=1`

We can check in the graph and in the intercepts that a = 5 and b = 7.

Therefore we have:

`(x^2)/(5^2)+(y^2)/(7^2)=1`