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

Expert Answers

An illustration of the letter 'A' in a speech bubbles

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

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial