Question

Point X is located at (2, −6), and point Z is located at (0, 5). Find the y value for the point Y that is located one over five the distance from point X to point Z.

−3.6
−3.8
−4
−4.2

Answer 1

The answer would be B, -3.8.
HOPE THIS HELPS! ^_^

Answer 2

The value of Y is -3.8

B is correct.

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,

`(x,y)\rightarrow ((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n))`

We need to find y coordinate of Y

`y\rightarrow (5\cdot 1-6\cdot 4)/(1+4)`

`y\rightarrow (5-24)/(5)`

`y\rightarrow (-19)/(5)`

`y\rightarrow -3.8`

Hence, The value of Y is -3.8