Question

shelley wells camperound troop 175 is designing their new campground by first mapping everything on a coordinate grid. they have found a location for the mess hall and their cabins. they want the bathrooms to be halfway between the mess hall and their cabins. what will be the coordinates of the location of the bathrooms?

Explanation:

Step1: Find coordinates of mess - hall and cabins

Assume mess - hall is at point $M(x_1,y_1)$ and cabins are at point $C(x_2,y_2)$. From the grid, if we assume each square is 1 unit, let's say mess - hall $M(- 3,-2)$ and cabins $C(7,4)$.

Step2: Use mid - point formula

The mid - point formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.
Substitute $x_1=-3,y_1 = - 2,x_2 = 7,y_2 = 4$ into the formula.
For the x - coordinate of the mid - point: $\frac{-3 + 7}{2}=\frac{4}{2}=2$.
For the y - coordinate of the mid - point: $\frac{-2+4}{2}=\frac{2}{2}=1$.

Answer:

$(2,1)$