Answer:
The value of Y is -3.8
B is correct.
Step-by-step explanation:
Point X is located at (2, −6), and point Z is located at (0, 5)
The point Y that is located one over five the distance from point X to point Z
We can say XY is one-fifth of XZ
If we find the ratio of XY:YZ then 1:4
Using section formula,
[tex](x,y)\rightarrow (\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n})[/tex]
We need to find y coordinate of Y
[tex]y\rightarrow \dfrac{5\cdot 1-6\cdot 4}{1+4}[/tex]
[tex]y\rightarrow \dfrac{5-24}{5}[/tex]
[tex]y\rightarrow \dfrac{-19}{5}[/tex]
[tex]y\rightarrow -3.8[/tex]
Hence, The value of Y is -3.8
