regression line

compute least-squares regression line for predicting y from x given the following summary statistics.
$\begin{array}{|lcl|} \hline \bar{x} &=& 6 \\ s_x &=& 3 \\ \bar{y} &=& 1350 \\ s_y &=& 101 \\ r &=& 0.7 \\ \hline \end{array}$

$\begin{array}{|rcl|rcl|rcl|} \hline y &=&\alpha+\beta x & \alpha &=& \bar{y}-\beta\bar{x} & \beta&=& r\cdot \frac{s_y}{s_x} \\ && & && & \beta&=& 0.7\cdot \frac{101}{3} \\ && & && & \beta&=& 23.5\bar{6} \\ && & \alpha &=& 1350-23.5\bar{6} \cdot 6 & \\ && & \alpha &=& 1208.6 \\ y &=&1208.6+23.5\bar{6} x \\ \hline \end{array}$