Give the equations of any vertical or horizontal asymptotes for the graph of the rational function. \[ f(x)=\frac{5-3 x}{4 x+4} \]

Step 1 ：Given the function \(f(x)=\frac{5-3x}{4x+4}\)

Step 2 ：To find the vertical asymptote, set the denominator equal to zero and solve for x: \(4x + 4 = 0\)

Step 3 ：Solving the equation gives \(x = -1\), so the vertical asymptote is \(x = -1\)

Step 4 ：To find the horizontal asymptote, compare the degrees of the numerator and the denominator. Here, both degrees are 1

Step 5 ：Since the degrees are equal, the horizontal asymptote is the ratio of the leading coefficients, which is \(-\frac{3}{4}\)

Step 6 ：Final Answer: The vertical asymptote is \(\boxed{x = -1}\) and the horizontal asymptote is \(\boxed{y = -\frac{3}{4}}\)