SOLUTION: Find an equation for the ellipse satisfying the given conditions: Ends of major axis (�6,0); passes through (2,3).

Question 769733: Find an equation for the ellipse satisfying the given conditions:
Ends of major axis (�6,0); passes through (2,3).
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find an equation for the ellipse satisfying the given conditions:
Ends of major axis (�6,0); passes through (2,3).
***
Given ellipse has a horizontal major axis.
Its standard form of equation: , a>b, (h,k)=(x,y) coordinates of the center
center: (0,0)
a=6 (distance from center to vertices)
a^2=36
solving for b using coordinates of given point (2,3)

9/b^2=1-1/9=8/9
b^2/9=9/8
b^2=81/8
Equation:
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