SOLUTION: Determine the coordinates of the midpoint of the line segment whose endpoints are A(-7, 3, 2) and B(1, 5, 1).

Algebra.Com
Question 88028: Determine the coordinates of the midpoint of the line segment whose endpoints are A(-7, 3, 2) and B(1, 5, 1).
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
In order to find the midpoint, we need to average each corresponding coordinate. For instance, if we have the first coordinate of -7 for the first point and 1 for the second point, we simply average them like this:

Average of the first coordinate:


So lets find the averages between the two points
To find , average the x-coordinates between the two points



So the x-coordinate of the midpoint is -3 (i.e. x=-3)
-----------------------------------------------------------------------------------------------------------------

To find , average the y-coordinates between the two points



So the y-coordinate of the midpoint is 4 (i.e. y=4)
-----------------------------------------------------------------------------------------------------------------

To find , average the z-coordinates between the two points



So the z-coordinate of the midpoint is 1.5 (i.e. z=1.5)
-----------------------------------------------------------------------------------------------------------------

Since the coordinates of the midpoint are x=-3, y=4, z=1.5, this means the midpoint is (-3,4,1.5)

RELATED QUESTIONS

Determine the midpoint of the segment whose endpoints are A(7, 3, -4) and B(-3, 1,... (answered by madhujiithcharu@yahoo.co.in)
a line segment has endpoints A(7,-1) and B(-3,3).What are the coordinates of the midpoint (answered by josmiceli)
Determine the coordinates of the midpoint of the line segment whose endpoints are A(0, (answered by rapaljer)
Determine the midpoint of the segment whose endpoints are A(7, 3, -4) and B(-3, 1, 0). (answered by Alan3354)
Find the coordinates of the midpoint of the segment whose endpoints are (9,3) and... (answered by checkley75)
Find the coordinates of the midpoint of the segment whose endpoints are (9,3) and... (answered by stanbon)
line segment ab has endpoints a(2 -3) and b (-4,6) what are the coordinates of the... (answered by MathLover1)
What are the coordinates of the midpoint of the line segment whose endpoints are (-4,... (answered by Alan3354)
Line segment side AB has endpoints A (2, -3) and B (-4, 6). What are the coordinates of... (answered by josmiceli)