Question

If little Jimmy's house is at the coordinates (-7, -3) and little Jerry's house is at the coordinates (-8, -1) and they want to meet at the ball field that is exactly halfway between their houses, what are the coordinates of the ball field?

Answer 1

Answer:

(-7.5, -2)

Explanation:

Coordinates of Jimmy's House = (-7, -3)

Coordinates of Jerry's House = (-8, -1)

The field is halfway between Jimmy's and Jerry's house.

This is the midpoint of the two houses.

We use the midpoint formula to find the coordinates of the ball field.

$\begin{gathered} \text{Midpoint}=(\frac{-7+(-8)}{2},\frac{-3+(-1)}{2}) \\ =(\frac{-7-8}{2},\frac{-3-1}{2}) \\ =(-\frac{15}{2},-\frac{4}{2}) \\ =(-7.5,-2) \end{gathered}$

The coordinates of the ball field is (-7.5, -2).