Answer:
The formula to find the mid-point of a line segment give the two end points is:
M
=
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
Where
M
is the midpoint and the given points are:
(
x
1
y
1
)
and
(
x
2
y
2
)
Substituting the information we have gives:
(
1.5
,
4.5
)
=
(
−
3.5
+
x
2
2
,
−
6
+
y
2
2
)
To find
x
2
we need to solve this equation:
1.5
=
−
3.5
+
x
2
2
2
×
1.5
=
2
×
−
3.5
+
x
2
2
3
=
2
×
−
3.5
+
x
2
2
3
=
−
3.5
+
x
2
3.5
+
3
=
3.5
−
3.5
+
x
2
6.5
=
0
+
x
2
6.5
=
x
2
x
2
=
6.5
To find
y
2
we need to solve this equation:
4.5
=
−
6
+
y
2
2
2
×
4.5
=
2
×
−
6
+
y
2
2
9
=
2
×
−
6
+
y
2
2
9
=
−
6
+
y
2
9
+
6
=
6
−
6
+
y
2
15
=
0
+
y
2
15
=
y
2
y
2
=
15
The other end point of the segment is:
(
6.5
,
15
)