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,

$(x,y)=(\frac{a+c}{2},\frac{b+d}{2})$

Determine the midpoint for line PQ.

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

So answer is (4,5).