Solution:
Given that the point P lies 1/3 along the segment RS as shown below:
To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

Using the section formula expressed as
![[(mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n)]](https://img.qammunity.org/2023/formulas/mathematics/college/e4n6eyx31cbmjny2bxno6sb2wbfad4fn2t.png)
In this case,

where

Thus, by substitution, we have
![\begin{gathered} [(1(2)+2(-7))/(1+2),(1(4)+2(-2))/(1+2)] \\ \Rightarrow[(2-14)/(3),(4-4)/(3)] \\ =[-4,\text{ 0\rbrack} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/s54gk73y4xve1m030yap1g9xv04v2d8c13.png)
Hence, the y-coordinate of the point P is
