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how long would that line segment need to be?

0 votes

I have two points, (–8,3) and (6,–1). If I want to connect those two points with a line segment, how long would that line segment need to be?

asked Oct 3, 2018 in ALGEBRA 2 by anonymous
reshown Oct 3, 2018 by bradely

1 Answer

0 votes

The points are A = (-8, 3) and B  = (6, -1).

Let A (x1, y1) = (-8, 3) and B (x2, y2) = (6, -1)

Lenth of the Line Segment =    √ [(x2 - x1)^2 + (y2 - y1)^2]

Substitute  A (x1, y1) = (-8, 3) and B (x2, y2) = (6, -1) in above equation

AB  =  √ [(6 + 8)^2 + (-1 - 3)^2]

      =  √ [(14)^2 + (-4)^2]

      =  √ (196 + 16)

      =  √212

      =  2√ 53

Answer :

Length of the Line Segment is  2√ 53.

answered Oct 4, 2018 by homeworkhelp Mentor

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