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\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}

\thispagestyle{empty}
\begin{document}
\begin{equation}
  y=\left\{
    \begin{array}{cc}
      k_1(x-x_b)+y_b& x<x_b\\
      k_2(x-x_b)+y_b& x\geq x_b
    \end{array}
    \right .\notag
\end{equation}
\end{document}