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