We have been given that the maximum point at the graph of a trigonometric function is [tex](-\frac{5\pi}{4},6.7)[/tex] and amplitude of the function is 4.1. We are asked to find the mid-line of the given function.
We will use mid-line formula to solve our given problem.
[tex]\text{Mid-line value}=\text{Maximum value}-\text{Amplitude}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]\text{Mid-line value}=6.7-4.1[/tex]
[tex]\text{Mid-line value}=2.6[/tex]
Therefore, the mid-line of the given function would be [tex]y=2.6[/tex].