Answer:
The coordinates of the school should be at (10.5 , 4.25)
Step-by-step explanation:
We are dealing with two points here on a plane. These are:
Town of Coyner, Point A(3,1)
town of Coyner, Point B (18, 7.5)
in coordinate geometry, to get the mid point of two points we simply use the formula:
![(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%7D%7B2%7D%2C%20%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D%29)
where x and y are the first and second points respectively
applying this formula, we have that
the mid point of the two towns is
![(\frac{3+18}{2}, \frac{1+7.5}{2})=(10.5 , 4.25)](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%2B18%7D%7B2%7D%2C%20%5Cfrac%7B1%2B7.5%7D%7B2%7D%29%3D%2810.5%20%2C%204.25%29)
Hence the coordinates of the school should be at (10.5 , 4.25)