\begin{tikzpicture}

  % Frame
  \draw [thick, <->] (0,-4) -- (0,0) -- (9,0);
  
  % Vertical lines
  \draw (3,0) node[anchor=south] {1.1} -- (3,-4) ;
  \draw (6,0) node[anchor=south] {4.5} -- (6,-4) ;
  
  % Upper horizontal lines
  \draw [dashed] (0,-1) node [anchor=east] {$|4.5-c|$} -- (3,-1) node [midway, above, sloped] {$-c$} -- (6,-1);
  \draw [dashed] (0,-2) node [anchor=east] {$|c-1.1|$} -- (3,-2) node [midway, above, sloped] {$-c$};
  \draw (6,-1) -- (9,-1) node [midway, above, sloped] {$c$};
  \draw (3,-2) --(6,-2) node [midway, above, sloped] {$c$} -- (9,-2) ;
  
  % Points
  \node[circle,fill,inner sep=1.5pt] at (6,-1) {};
  \node[circle,fill,inner sep=1.5pt] at (3,-2) {};
  \node[circle,fill,inner sep=1.5pt] at (3,-3) {};
  \node[circle,fill,inner sep=1.5pt] at (6,-3) {};
  
  % Lower horizontal line
  \draw [dashed] (0,-3) node [anchor=east] {$|4.5-c| + |c-1.1|$} -- (3,-3) node [midway, above, sloped] {$-2c$};
  \draw (3,-3)  -- (6,-3) node [midway, above, sloped] {$0$};
  \draw (6,-3) -- (9,-3) node [midway, above, sloped] {$2c$};
  
\end{tikzpicture}