What is the midpoint of Line segment A B ?

A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 2 and is labeled F. A closed circle appears at positive 1 and is labeled G. A closed circle appears at positive 2 and is labeled H. A closed circle appears at positive 3 and is labeled L. A closed circle appears at positive 8 and is labeled B.

point F
point G
point H
point I

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landonjindustries landonjindustries · Answer 1 · 2024-06-28T13:53:00-04:00

Well to find the midpoint of line segment AB, we need the coordinates of points A and B on the number line. Point A is at −6 and point B is at 8.

The formula for the midpoint of a line segment with endpoints (x1,y1) and (x2,y2) is: (x1+x2/2,y1+y2/2)

Since we're dealing with a number line (1D), we only need the x-coordinates: Midpoint=x1+x2/2

Substituting the coordinates of A and B: Midpoint=−6+8/2=2/2=1

So, the midpoint of line segment AB is at 1. According to the number line provided, point G is at 1.

Therefore, the midpoint of line segment AB is point G.