The given equation is:

$y = \frac{5 + 7x}{3 + 4x}$

Would you like me to:

1. Find the derivative $\frac{dy}{dx}$?
2. Determine the asymptotes of the function?
3. Analyze the domain and range?
4. Find specific values of $y$ for given $x$?
5. Solve for $x$ in terms of $y$?

Let me know what details you need!

Tip: A rational function like this may have vertical asymptotes where the denominator equals zero.