Find the equation of an ellipse whose axes lie along coordinate axes and which passes through (4,3) and (-1,4).

Explanation

To find the equation of the ellipse whose axes lie along the coordinate axes and which passes through the points (4, 3) and (-1, 4), we will follow these steps:

### Step 1: Write the standard form of the ellipse equation
The standard form of an ellipse with axes along the coordinate axes is given by:
\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \]
where \(a^2\) and \(b^2\) are the squares of the semi-major and semi-minor axes, respectively.
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