Answer:
Explanation:
To find the coordinates of Mary's new apartment, she needs to be located midway between her home and her school. The midpoint formula for two points
(
�
1
,
�
1
)
(x
1
,y
1
) and
(
�
2
,
�
2
)
(x
2
,y
2
) is given by:
Midpoint
=
(
�
1
+
�
2
2
,
�
1
+
�
2
2
)
Midpoint=(
2
x
1
+x
2
,
2
y
1
+y
2
)
In this case, her home coordinates are
(
−
28
,
−
10
)
(−28,−10) and her school coordinates are
(
4
,
3
)
(4,3). Applying the midpoint formula:
Midpoint
=
(
−
28
+
4
2
,
−
10
+
3
2
)
Midpoint=(
2
−28+4
,
2
−10+3
)
Midpoint
=
(
−
12
,
−
3.5
)
Midpoint=(−12,−3.5)
So, the coordinates of her new apartment are
(
−
12
,
−
3.5
)
(−12,−3.5), which is closest to option C.