# What is the length of the line segment determined by A(-2, 3) and B(4, 1)?

1
by Alfredgreat461

## Answers

2015-05-07T19:52:30+08:00

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To find the distance of two points we need to use the Pythagorean Theorem the distance between points is a hypotenuse of a right triangle.

The Pythagorean Theorem states that:

The Pythagorean Theorem triangles with 90° (right triangles) a and b are the side lengths of the legs while c is the length of the hypotenuse.

In a Cartesian plane the side lengths a and b are represented like this:

So the Pythagorean Theorem would be:

We have  as the coordinates of point A which is
and  as the coordinates of point B which is

We substitute the values to the Pythagorean theorem:

Therefore the length of the line segment is