Answer:
[tex]\frac{x^2}{4} +\frac{y^2}{25} =1[/tex]
Step-by-step explanation:
From a sketch of the given coordinates, you notice that the ellipse has its center at (0,0) i.e origin
It is a vertical ellipse centered at (0,0),
The major axis has its coordinates at (0,a) = (0,5) and (0,-a) =(0,-5)
The minor axis has it coordinates at (0,b)=(0,-2) and (0,2)
Here a>b
The length of major axis is 2a = 2*5= 10
The length of minor axis is 2b= 2*2=4
Equation is given by
[tex]\frac{x^2}{b^2} +\frac{y^2}{a^2} =1\\\\\\\frac{x^2}{2^2} +\frac{y^2}{5^2} =1\\[/tex]
