SOLUTION: write the equation of an ellipse given foci (1,-4) (5,-4) and major axis endpoints (0,-4) (6,-4)

Question 931144: write the equation of an ellipse given foci (1,-4) (5,-4) and major axis endpoints (0,-4) (6,-4)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
write the equation of an ellipse given foci (1,-4) (5,-4) and major axis endpoints (0,-4) (6,-4)
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Given ellipse has a horizontal major axis.
Its standard form of equation: ,a>b,(h,k)=coordinates of center.
For given ellipse:
x-coordinate of center=3 (midpoint of major axis)
y-coordinate of center=-4
center:(3,-4)
a=3(distance from center to end points of horizontal major axis
a^2=9
c=2(distance from center to foci)
c^2=4
c^2=a^2-b^2
b^2=a^2-c^2=9-4=5
equation:

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