1. A line joins $A(1,3)$ to $B(5,8)$. 
The line $AB$ is transformed to the line $PQ$.

Find the co-ordinates of $P$ and the co-ordinates of $Q$ after $AB$ is translated by the vector  $(\begin{matrix}5\\-2\end{matrix})$.

$P$ $($........................ , ........................$)$     

$Q$ $($........................ , ........................$)$