The given expression is
[tex]y=|-4x+1|[/tex]We just have to evaluate each answer choice to see which one satisfies the given equations.
For (3,-11)
[tex]\begin{gathered} -11=|-4(3)+1| \\ -11=|-12+1| \\ -11=|-11| \end{gathered}[/tex]This result is false, since those numbers are not equivalent.
For (3,11)
[tex]\begin{gathered} 11=|-4(3)+1| \\ 11=|-12+1| \\ 11=|-11| \\ 11=11 \end{gathered}[/tex]In this case, the point (3,11) satisfies the equation because we got a true result.