The location of point Y is the point -3 on the number line
Here, we want to find the location of Y
let us say the point 0 represents the origin
The coordinates of point x will be (-9,0) while the coordinates of point z will be (3,0)
To find the location of Y , we proceed to use the midpoint formula as follows;
![(x,y)=\frac{x_{1\text{ }}+x_2}{2},\frac{y_{1\text{ }}+y_2}{2}](https://img.qammunity.org/2023/formulas/mathematics/college/jkf4pujbm9itzuwfnzptrefxotuetyim8t.png)
Thus, we have;
(-9 + 3)/2 , (0 + 0)/2
= -6/2 , 0
= (-3 , 0)