Question
A coordinate plane unit represents 1 mile. A post office is located at (4, -2) fin a point that is 4 miles to the north or south of the post office.
Answers
GPT-4o mini
To determine the points that are 4 miles to the north or south of the post office located at (4, -2), we'll adjust the y-coordinate of the post office location.
1. **North of the post office**: Moving north means we add 4 to the y-coordinate.
\[
\text{New coordinates} = (4, -2 + 4) = (4, 2)
\]
2. **South of the post office**: Moving south means we subtract 4 from the y-coordinate.
\[
\text{New coordinates} = (4, -2 - 4) = (4, -6)
\]
Thus, the points that are 4 miles to the north and south of the post office are:
- North: **(4, 2)**
- South: **(4, -6)**
1. **North of the post office**: Moving north means we add 4 to the y-coordinate.
\[
\text{New coordinates} = (4, -2 + 4) = (4, 2)
\]
2. **South of the post office**: Moving south means we subtract 4 from the y-coordinate.
\[
\text{New coordinates} = (4, -2 - 4) = (4, -6)
\]
Thus, the points that are 4 miles to the north and south of the post office are:
- North: **(4, 2)**
- South: **(4, -6)**