Question 744231: I need to write an equation for an ellipse with the endpoints of the major axis (7,3) (7,9) , endpoints of the minor axis at (5,6) , (9,6).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! I need to write an equation for an ellipse with the endpoints of the major axis (7,3) (7,9) , endpoints of the minor axis at (5,6) , (9,6).
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Given ellipse has a vertical major axis. (y-coordinates of major axis change but x-coordinates do not)
Its standard form of equation:  , a>b, (h,k)=(x,y) coordinates of center
y-coordinate of center=6 (midpoint of vertical major axis, (9+3)/2=12/2=6
x-coordinate of center=7
center:(7,6)
a=6 (distance from center to end points of major axis)
a^2=36
b=2 (distance from center to end points of minor axis)
b^2=4
Equation for given ellipse:
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