Question

On a map, Cary drew a set of coordinate axes. He noticed that the town of Coyner is located at the point (3, 1) and Woottonville is located at (18, 7.5), where 1 grid unit represents 1 mile. If the towns want to place a school at the midpoint between the towns, where should it be located?

Answer 1

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:

$(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})$

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

$(\frac{3+18}{2}, \frac{1+7.5}{2})=(10.5 , 4.25)$

Hence the coordinates of the school should be at  (10.5 , 4.25)