Question

Given P(-2,4,-4) and Q(3,1,0) find the midpoint of the segment PQ

Answer 1

`P_x = -2, P_y =4, P_z =-4`

`Q_x = 3, P_y =1, P_z =0`

Replacing we got:

`x = (-2+3)/(2)=(1)/(2)`

`y= (4+1)/(2)=(5)/(2)`

`z =(-4+0)/(2)=-2`

And then the midpoint would be:

`M= ((1)/(2) , (5)/(2), -2)`

Explanation:

We have the following two points P(-2,4,-4) and Q(3,1,0) 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 = -2, P_y =4, P_z =-4`

`Q_x = 3, P_y =1, P_z =0`

Replacing we got:

`x = (-2+3)/(2)=(1)/(2)`

`y= (4+1)/(2)=(5)/(2)`

`z =(-4+0)/(2)=-2`

And then the midpoint would be:

`M= ((1)/(2) , (5)/(2), -2)`