Partitioning Line Segments via Ratio Practice Test

In the coordinate plane shown, segment $\overline{AB}$ has endpoints $A(1,-3)$ and $B(9,5)$. Point $P$ divides the directed segment from $A$ to $B$ internally so that $AP:PB=3:1$. Which coordinates represent the partition point?

On the coordinate plane, points $A(-4,1)$ and $B(2,7)$ are connected by segment $\overline{AB}$. Point $P$ lies on the directed segment from $A$ to $B$ and divides $\overline{AB}$ internally in the ratio $AP:PB=1:2$. Which point divides the segment in the given ratio?