Question

The coordinate of the mid-point of the line segment joining the points (2,1) and (1,-3) is ____.

• A. $(\frac{3}{2},-1)$
• B. $(-3,-2)$
• C. $(3,-2)$
• D. $(4,-1)$

Answer 1

The correct option is A

$(\frac{3}{2},-1)$

Let, $(x,y)$ be coordinates of the mid-point.

From the section formula if $(x,y)$ are the midpoints of the line segment joining $(x_1,y_1)$ and $(x_2,y_2)$,

then $x=\frac{x_1+x_2}{2}$ and $y=\frac{y_1+y_2}{2}$

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

So, $(x,y)=(\frac{3}{2},-1)$