SOLUTION: Find an equation of the ellipse that has center (- 4, 3) axis of length 10and endpoint of minor axis (- 3, 3)

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Question 1180769: Find an equation of the ellipse that has center (- 4, 3) axis of length 10and endpoint of minor axis (- 3, 3)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
an equation of the ellipse:
%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1
given:
center: (h,k)=(-4,3)
endpoint of minor axis (-+3, 3)
Each endpoint of the major axis is the vertex of the ellipse (plural: vertices), and each endpoint of the minor axis is a co-vertex of the ellipse. The center of an ellipse is the midpoint of both the major and minor axes.

co-vertex of the ellipse is (-+3, 3)
if so, then the other co-vertex of the ellipse is (-+5, 3)
distance from the center to co-vertex is a=>a=1
a major axis of length 10: =>2b=10=>b=5
%28x-%28-4%29%29%5E2%2F1%5E2%2B%28y-3%29%5E2%2F5%5E2=1
%28x%2B4%29%5E2%2F1%2B%28y-3%29%5E2%2F25=1