Find the coordinates of point $P$P along the directed line segment $AB$AB , from $A\left(8,\ 0\right)$A(8, 0) to $B\left(3,-2\right)$B(3,−2) , so that the ratio of $AP$AP to $PB$PB is $1$1 to $4$4 .
$A\left(8,\ 0\right),\ B\left(3,-2\right)$A(8, 0), B(3,−2)
The coordinates are $P\text{(}$P( , $\text{)}$) .