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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}