Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is B.
What are the coordinates of the midpoint of the line segment AB?
Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment.
Suppose we've two endpoints of a line segment:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
Given the two endpoint coordinates of the line AB, which are A(-4,2) and B(1,-4). Therefore, the coordinates of the midpoint of the line are:
[tex]x = \dfrac{-4+1}{2} =-\dfrac{3}{2}[/tex]
and
[tex]y = \dfrac{2-4}{2} = -1[/tex]
Hence, the correct option is B.
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