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

The coordinates of the ball field, which is halfway between little Jimmy's house at (-7, -3) and little Jerry's house at (-8, -1), are (-7.5, -2).

Step-by-step explanation:

The question involves finding a midpoint between two sets of coordinates in a Cartesian coordinate system. To find the midpoint, you add the x-coordinates of the two points and divide by two, and then add the y-coordinates of the two points and divide by two. For little Jimmy's house at (-7, -3) and little Jerry's house at (-8, -1), the calculations are as follows:

• Add the x-coordinates together: (-7) + (-8) = -15
• Divide by two to find the midpoint x-coordinate: -15 / 2 = -7.5
• Add the y-coordinates together: (-3) + (-1) = -4
• Divide by two to find the midpoint y-coordinate: -4 / 2 = -2

Therefore, the coordinates of the ball field, which is halfway between their houses, are (-7.5, -2).

Answer 2

(-7.5, -2)

Step-by-step 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}=((-7+(-8))/(2),(-3+(-1))/(2)) \\ =((-7-8)/(2),(-3-1)/(2)) \\ =(-(15)/(2),-(4)/(2)) \\ =(-7.5,-2) \end{gathered}`

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