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

1 Answer | Add Yours

hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

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

We’ve answered 318,912 questions. We can answer yours, too.

Ask a question