Question

On a map, Lin's house is located at (-1, 6) and the library is located at (5, 2). Lin walks on a straight line from her house to the library.

Which ordered pair represents the halfway point between Lin's home and the library?

Answer 1

The halfway point between Lin's house at (-1, 6) and the library at (5, 2) is found using the midpoint formula and is represented by the ordered pair (2, 4).

Step-by-step explanation:

To find the halfway point between Lin's house at (-1, 6) and the library at (5, 2), you have to calculate the midpoint of the line segment joining these two points. The midpoint formula is given by:

(x1 + x2)/2, (y1 + y2)/2

Here, Lin's house is point 1 and the library is point 2, so:

(-1 + 5)/2, (6 + 2)/2

=(4/2), (8/2)

=(2, 4)

The ordered pair that represents the halfway point between Lin's home and the library is (2, 4).