SOLUTION: Find an equation of an ellipse having the given intercepts: x-intercept: �3 y-intercept: �4

Question 556562: Find an equation of an ellipse having the given intercepts:

x-intercept: �3

y-intercept: �4
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find an equation of an ellipse having the given intercepts:
x-intercept: �3
y-intercept: �4
**
The x-intercept shows the length of the horizontal axis=6
The y-intercept shows the length of the vertical axis=8
Therefore, this is an ellipse with vertical major axis. Its standard form of equation:
(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.
For given ellipse:
center: (0,0) (midway between intercepts)
length of vertical major axis=8=2a
a=4
a^2=16
length of minor axis=6=2b
b=3
b^2=9
Equation of given ellipse:
x^2/9+y^2/16=1
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