Two points are located at (−9,−8)
-
9
,
-
8
and (−6,−4)
-
6
,
-
4
.

Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points.
Math item stem image
CLEAR CHECK
Solve 2+2=2
a
2
+
b
2
=
c
2
for
c
.

=
c
=

Use coordinates to write an expression for the distance between the two points.

=
c
=
√

( – )² + ( – )²

The distance between the two points is 5 units

Explanation:

Given that the two points are located at and

We need to determine the distance between these two points using Pythagorean theorem.

The distance between the two points can be determined using the formula,

Substituting the coordinates and in the above formula, we get,

Simplifying, we get,

Squaring the terms, we get,

Adding the terms, we have,

Simplifying, we get,

Thus, the distance between the two points is 5 units.

step-by-step explanation: