$\"\"$

Grant and Hector want to build a clubhouse at the midpoint between their houses.

The Grants house is at point $\"\"$ and Hectors house is at point $\"\"$ .

Find the coordinates of the clubhouse:

Observe the graph:

The coordinates for point $\"\"$ are $\"\"$ and the coordinates for point $\"\"$ are $\"\"$ .

$\"\"$ (Midpoint formula)

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

$\"\"$ (Simplify)

The coordinates of the clubhouse are $\"\"$ .

$\"\"$

The coordinates of the clubhouse are $\"\"$ .