Find the length of the line segment AB if A(2,-4) and B(-2,1)

Given the line segment AB such that the coordinate of A is
( 2,-4) and the coordinates of y is (-2,1)

We need to find
the length of the line segment AB.

We will use the distance
between two point formula.

==> We know that D= sqrt[
(x1-x^2)^2 + (y1-y2)62]

Now we will substitute with A and
B.

==> D = sqrt[ (2+2)^2 +
(-4-1)^2]

           = sqrt[(4^2 +
5^2]

           = sqrt(16+25) =
sqrt(41)

==> D= sqrt41 =
6.403

Then, the length of the line segment AB
is sqrt41=6.403