The midpoint of line segment is (4, 3).
What is the mid point of a line segment?
The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
How to calculate the midpoint of a line segment whose end points are given?
Mid point of a line segment is given by
[tex](x,y)=(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2} }{2} )[/tex]
Where,
[tex](x,y)[/tex] is the mid point of the line segment
[tex](x_{1},y_{1} )[/tex] and [tex](x_{2},y_{2} )[/tex] are the endpoints of a line segment.
According to the given question
We have
A line segment whose end points are (-2,3) and (10, 3).
Let the midpoint of the line segment be (x, y).
Therefore, the midpoint of the line segment is given by
[tex](x, y) = (\frac{(-2+10)}{2} ,\frac{(3+3)}{2} )[/tex]
⇒[tex](x,y) = (\frac{8}{2},\frac{6}{2} )[/tex]
⇒[tex](x,y) = (4, 3)[/tex]
Hence, the midpoint of line segment is (4, 3).
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