The coordinates would be P(-3.2, 6.2)
We need to calculate the slope of the segment
[tex]\begin{gathered} m=\frac{20-5}{6+4} \\ m=\frac{15}{10} \\ m=1.5 \end{gathered}[/tex]The ratio 2:3 splits the segment into 5 sections. We will add 2/5 of the rise to the y-coordinate and 2/5 of the run to the x-coordinate:
[tex]\begin{gathered} -4+\mleft(2/5\mright)\mleft(2\mright)=-4+4/5=-4+0.8=-3.2 \\ 5+\mleft(2/5\mright)\mleft(3\mright)=5+6/5=5+1.2=6.2 \end{gathered}[/tex]