| 
 
 
| Question 1168621:  find the equation of the ellipse in general form with vertices at (-2,1) and (4,1) with eccentricity of ⅔
 
 Answer by MathLover1(20850)
      (Show Source): 
You can put this solution on YOUR website!  find the equation of the ellipse in general form with vertices at (  ,  ) and (  ,  ) with eccentricity of   the equation of the ellipse in general form:
 
   The distance from the center to a vertex is the fixed value
  . 
  =>  ->  and   then
 
   
   
   
   
   
 so far equation is:
 
 
   The distance from the center to a vertex is the fixed value
  . Since the vertices of the ellipse are (
  ,  ) and (  ,  ) , and  then (
  ,  )=(  ,  ) 
 (
  ,  )=(  ,  ) =>
  ,   and your equation is:
 
   
 
   
 | 
  
 | 
 |