SOLUTION: Write the equation of the ELLIPSE that satisfies the given conditions Vertices (-1.3) and (5, 3) length of minor axis 4

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Question 1190958: Write the equation of the ELLIPSE that satisfies the given conditions
Vertices (-1.3) and (5, 3) length of minor axis 4

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!


given:

Vertices (-1,3) and (5,3) => ->shows common y coordinate 3. So x axis is major axis and y axis is minor axis, therefore a greater than b
2a is the distance between vertices =>2a=6->a=3
and centre is half way between vertices: Center at (2,3) ->h=2 and k=3
length of minor axis 4, -> 2b=4 ->b=2
Standard equation for this ellipse is
%28x+-+h%29%5E2%2Fa%5E2+%2B+%28y+-+k%29%5E2+%2Fb%5E2=+1
your equation is:
%28x+-+2%29%5E2%2F3%5E2+%2B+%28y+-+3%29%5E2+%2F2%5E2=+1
%28x-2%29+%5E2%2F9+%2B+%28y-3%29+%5E2+%2F4=+1