Question

Find the distance between the points (7, -3) and (2,9)

Answer 1

See a solution process below:
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
=
√
(
2
−
4
)
2
+
(
9
−
7
)
2
d
=
√
(
−
2
)
2
+
2
2
d
=
√
4
+
4
d
=
√
8
Or
d
=
2.828
rounded to the nearest thousandth.
Or
d
=
√
4
⋅
2
d
=
√
4
√
2
d
=
2
√
2