Question

Given P(-7,3,-7) and Q(-4,-3,-9), find the midpoint of the segment PQ

Answer 1

The coordinates of the midpoint of the segment are (-5.5,0,-8)

Explanation:

In this question, we are tasked with calculating the midpoint of the segment PQ.

To calculate this, we employ the use of a mathematical formula as follows;

The coordinate of the midpoint are = {(x1+x2)/2, (y1+y2)/2 , (z1+ z2)/2}

Thus we have;

{(-7-4)/2, (3-3)/2 , (-7-9)/2} = (-11/2, 0/2, -16/2)

= (-5.5,0,-8)

Answer 2

`P_x= -7, P_y = 3, P_z= -7`

`Q_x= -4, P_y = -3, P_z= -9`

Replacing we got:

`x= (-7 -4)/(2)= -(11)/(2)`

`y = (3-3)/(2)=0`

`z =(-7-9)/(2)= -8`

And then the midpoint would be:

`M= (-(11)/(2), 0,-8)`

Explanation:

We have the following two points P(-7,3,-7) and Q(-4,-3,-9) and the midpoint for this case is given by this:

`x= (P_x +Q_x)/(2)`

`y= (P_y +Q_y)/(2)`

`z= (P_z +Q_z)/(2)`

And from the problem given we have:

`P_x= -7, P_y = 3, P_z= -7`

`Q_x= -4, P_y = -3, P_z= -9`

Replacing we got:

`x= (-7 -4)/(2)= -(11)/(2)`

`y = (3-3)/(2)=0`

`z =(-7-9)/(2)= -8`

And then the midpoint would be:

`M= (-(11)/(2), 0,-8)`