Partitioning Line Segments via Ratio Practice Test

On the coordinate plane, points $L(-4,-1)$ and $M(2,5)$ are connected by segment $\overline{LM}$. Which point divides the directed segment from $L$ to $M$ internally in the ratio $LP:PM=1:2$?

Points $J(0,-4)$ and $K(10,6)$ are connected on a coordinate plane by segment $\overline{JK}$. Point $T$ divides the directed segment from $J$ to $K$ internally in the ratio $JT:TK=4:1$. Which point divides the segment in the given ratio?