determine the coordinates of the midpoint of the line segment whose endpoints are A(0, 2, 4) and B(-8, 2, -6)

Mid point of points P1(x1,y1,z1) and P2(x2,y2,z2) is given by:

P(x,y,z)=((x1+x2)/2, (y1+y2)/2, (z1+z2)/2)

Post if you wish to confirm your answer.

To find the coordinates of the midpoint of a line segment, you can use the midpoint formula. The formula states that for a line segment with endpoints (x₁, y₁, z₁) and (x₂, y₂, z₂), the midpoint with coordinates (x, y, z) is given by the following equations:

x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
z = (z₁ + z₂) / 2

In this case, the coordinates of point A are (0, 2, 4), and the coordinates of point B are (-8, 2, -6). Let's substitute these values into the midpoint formula to find the coordinates of the midpoint.

x = (0 + -8) / 2 = -8 / 2 = -4
y = (2 + 2) / 2 = 4 / 2 = 2
z = (4 + -6) / 2 = -2 / 2 = -1

Therefore, the coordinates of the midpoint of the line segment AB are (-4, 2, -1).