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

Expert Answers

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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

Approved by eNotes Editorial Team

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