Respuesta :
The midpoint is at (11/2, 15/2, 1/2)
In the given statement is
To find the midpoint of the line segment joining the pair of points
A(4,7,9) and B(-3,8,-8)
Midpoint:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
m = (A +B)/2
If we are given three points and we wish to find the midpoint of those points, we need to use the midpoint formula m =( [tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} ,\frac{z_{1}+z_{2} }{2}[/tex] )
where:
(x1 , y1 ,z1) are the coordinates of the first point:
(x2 , y2 , z2) are the coordinates of the second point:
Now, We are given the three points A(4,7,9) and B(-3,8,-8)
Solving for the midpoint , we have,
m = ([tex]\frac{4+7}{2} ,\frac{7+8}{2} , \frac{9+(-8) }{2}[/tex])
m = (11/2, 15/2, 1/2)
Therefore, the midpoint is at ( 11/2, 15/2, 1/2)
Learn more about Midpoint at :
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