The distance between the points is
√
29
or
5.385
rounded to the nearest thousandth.
Explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
4
−
6
)
2
+
(
3
−
8
)
2
d
=
√
(
−
2
)
2
+
(
−
5
)
2
d
=
√
4
+
25
d
=
√
29
=
5.385
rounded to the nearest thousandth.
