Question

What is the position vector of the midpoint of the line PQ if P has coordinates(-2,3) and Q has coordinates (10,7)?A. (-6,5)B. (2,2)C. (4,5)D. (4,2)

Answer 1

The midpoint of segement joining point (a,b) and (c,d) is,

`(x,y)=((a+c)/(2),(b+d)/(2))`

Determine the midpoint for line PQ.

`\begin{gathered} (x,y)=((-2+10)/(2),(3+7)/(2)) \\ =((8)/(2),(10)/(2)) \\ =(4,5) \end{gathered}`

So answer is (4,5).