. Find the midpoint of the line segment joining the points (20.10) and (6.8).
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Answer:
To find the mid-point of 2 given points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
use the
mid-point formula
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
1
2
(
x
1
+
x
2
)
1
2
(
y
1
+
y
2
)
a
a
∣
∣
−−−−−−−−−−−−−−−−−−−−−−−−−
let
(
x
1
,
y
1
)
=
(
(
2
,
8
)
and
(
x
2
,
y
2
)
=
(
4
,
6
)
⇒
mid-point
=
(
1
2
(
2
+
4
)
,
1
2
(
8
+
6
)
)
=
(
3
,
7
)
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