Abit out of practice, but how to go about finding the origin and vertix of this equation
9x^(2)+16y^(2)=144

Explained Below

Step-by-step explanation:

The given equation is similar to an ellipse which is in the form of

+=1

where

2a=length of major axis

2b=length of minor axis

Here after rearranging the given equation we get

+=1

+=1

+=1

therefore its origin is (0,0)

and vertices are&

We can find origin by checking what is with x in the term

same goes for y

for here 2 is the x  coordinate of ellipse

and for vertices Each endpoint of the major axis is vertices and each endpoint of minor axis is co-vertices