Respuesta :
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 [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:
[tex]a=\frac{x_1+x_2}{2} \\\\b=\frac{y_1+y_2}{2}[/tex]
On a map, Mary's house is located at (−3, 1) and the grocery store is located at (5, 7).
[tex]x_1=-3, y_1=1, x_2=5, y_2=7[/tex]
Substitute these values into the mid-point formulae
[tex]a=\frac{-3+5}{2} \\\\a=\frac{2}{2}\\\\a=1[/tex]
[tex]b=\frac{1+7}{2} \\\\b=\frac{8}{2}\\\\b=4[/tex]
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: https://brainly.com/question/18315903
