ANSWER:
[tex]f(x)=-4[/tex]STEP-BY-STEP EXPLANATION:
We have that a linear function in its slope and intercepot form is the following:
[tex]\begin{gathered} f(x)=mx+b \\ \text{ where m is the slope and b is y-intercept} \end{gathered}[/tex]We calculate the slope as follows:
[tex]m=\frac{f(x_2)-f(x_1)_{}}{x_2-x_1}[/tex]The points to use would be (3, -4) and (5, -4)
[tex]m=\frac{-4-(-4)}{5-3}=\frac{-4+4}{2}=\frac{0}{2}=0[/tex]We can see that the slope is 0, which means the function would be:
[tex]f(x)=-4[/tex]