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

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

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:

`((x_(1)+x_(2))/(2), (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

`((3+18)/(2), (1+7.5)/(2))=(10.5 , 4.25)`

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