Answer
See below
Work Step by Step
Given $$\frac{x^2}{25}-\frac{y^2}{49}=1$$
Note that $a=5$ and $b=7$. The $x^2-term$ is positive, so the transverse axis is horizontal and the vertices are at $(\pm 5,0)$.
The asymptotes are $y=\frac{7}{5}x$