What is the equation for an ellipse with a center at the origin and a horizontal major axis?

The equation for an ellipse centered at the origin with a horizontal major axis is given by (\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1), where (a) is the semi-major axis length (along the x-axis) and (b) is the semi-minor axis length (along the y-axis). Here, (a > b > 0). This form indicates that the ellipse stretches farther along the x-axis than the y-axis.