Respuesta :
The midpoint of the line segment is (-1, -1).
What is midpoint of a line segment?
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
It is obtained by averaging the x-coordinates and averaging the y-coordinates of the endpoints of the segment.
Given endpoints
A(− 4, −5) and B(2, 3)
Midpoint of the line segment formula:
Midpoint of a Line Segment : Its x value is halfway between the two x values · Its y value is halfway between the two y values.
Midpoint [tex]= (\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2})[/tex]
Midpoint = [tex](\frac{-4+2}{2} ,\frac{-5+3}{2} )[/tex]
Midpoint = [tex](\frac{-2}{2}, \frac{-2}{2} )[/tex]
Midpoint = (-1, -1)
The midpoint of the line segment is (-1, -1).
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