Answer:
y-axis
Step-by-step explanation:
We have the equation:
[tex] \frac{ {x}^{2} }{16} + \frac{ {y}^{2} }{25} = 1[/tex]
This is the equation of an ellipse with vertex at origin.
We can rewrite this equation as:
[tex] \frac{ {x}^{2} }{ {4}^{2} } + \frac{ {y}^{2} }{ {5}^{2} } = 1[/tex]
Comparing this to
[tex]\frac{ {x}^{2} }{ {b}^{2} } + \frac{ {y}^{2} }{ {a}^{2} } = 1[/tex]
We a=5 and b=4
Since a>b, the major axis runs along the y-axis
