Question

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

Answer 1

Answer:

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

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

Replacing we got:

$x = \frac{-2+3}{2}=\frac{1}{2}$

$y= \frac{4+1}{2}=\frac{5}{2}$

$z =\frac{-4+0}{2}=-2$

And then the midpoint would be:

$M= (\frac{1}{2} , \frac{5}{2}, -2)$

Step-by-step 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:

$x= \frac{P_x +Q_x}{2}$

$y= \frac{P_y +Q_y}{2}$

$z= \frac{P_z +Q_z}{2}$

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:

$x = \frac{-2+3}{2}=\frac{1}{2}$

$y= \frac{4+1}{2}=\frac{5}{2}$

$z =\frac{-4+0}{2}=-2$

And then the midpoint would be:

$M= (\frac{1}{2} , \frac{5}{2}, -2)$