Question

The coordinate plane represents a map of a town. Each unit represents 1 mile.

A post office is located at (4-2). The town is considering constructing a library exactly 4 miles north or south of the post office
Plot a point that represents one of the locations the town is considering for the library
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Point

Answer 1

To plot a point representing a location 4 miles north or south of the post office (4, -2) on a coordinate plane, we increase the y-coordinate by 4 units to get the new coordinates (4, 2).

Step-by-step explanation:

To plot a point that represents one of the locations the town is considering for the library, we can use the given coordinates of the post office and apply the distance and direction. Since the town is considering a location 4 miles north or south of the post office, we simply need to increase or decrease the y-coordinate by 4 units. If we move 4 units north from the post office at (4, -2), the new coordinates would be (4, -2 + 4) = (4, 2). Therefore, one of the locations the town is considering for the library is (4, 2).

Answer 2

(4, 2) or (4, -6)

Step-by-step explanation:

Going 4 miles north would move the point (4, -2) 4 units up. When done so, the point (4, 2) is reached.

Going 4 miles south would move the point (4, -2) 4 units down. When done so, the point (4, -6) is reached.

A graph is shown below for further conformation.

hope this helps!