Question

On a map, Mary's house is located at (−3, 1) and the grocery store is located at (5, 7). Mary walks on a straight line from her house to the grocery store.
Which ordered pair represents the halfway point between Mary's home and the grocery store?


(−1, 4)

(−4, −3)

(4, 4)

(1, 4)

Answer 1

The ordered pair that  represents the halfway point between Mary's home and the grocery store is (1, 4)

The midpoint (a, b) between two linear points $(x_1, y_1)$ and $(x_2, y_2)$ is calculated as:

$a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}$

On a map, Mary's house is located at (−3, 1) and the grocery store is located at (5, 7).

$x_1=-3, y_1=1, x_2=5, y_2=7$

Substitute these values into the mid-point formulae

$a=\frac{-3+5}{2} \\\\a=\frac{2}{2}\\\\a=1$

$b=\frac{1+7}{2} \\\\b=\frac{8}{2}\\\\b=4$

The ordered pair that  represents the halfway point between Mary's home and the grocery store is (1, 4)

Learn more on the midpoint of a line here: brainly.com/question/18315903