Find the slope of the secant line between the values $x_{1}$ and $x_{2}$ for the function given below. \[ f(x)=\frac{4 x+3}{5 x+5} ; x_{1}=6, x_{2}=-10 \] The slope is Hint:

Step 1 ：Given the function \(f(x)=\frac{4 x+3}{5 x+5}\) and the points \(x_{1}=6\) and \(x_{2}=-10\)

Step 2 ：First, we need to find the values of \(f(x_{1})\) and \(f(x_{2})\)

Step 3 ：Substitute \(x_{1}=6\) into the function to get \(f(x_{1}) = 0.7714285714285715\)

Step 4 ：Substitute \(x_{2}=-10\) into the function to get \(f(x_{2}) = 0.8222222222222222\)

Step 5 ：Then, we use the formula for the slope of the secant line: \(m = \frac{f(x_{2}) - f(x_{1})}{x_{2} - x_{1}}\)

Step 6 ：Substitute the values into the formula to get \(m = -0.0031746031746031703\)

Step 7 ：Final Answer: The slope of the secant line between the values \(x_{1}\) and \(x_{2}\) for the function given is \(\boxed{-0.0031746031746031703}\)