Question

$A(-3,2)$ and $B(5,4)$ are the end points of a line segment, find the coordinates of the midpoints of the line segment.

• A. $(1,3)$
• B. $(3,3)$
• C. $(1,1)$
• D. $(3,1)$

Answer 1

The correct option is A $(1,3)$

Since $A(-3,2)=(x_1,y_1)$ and $B(5,4)=(x_2,y_2)$ are the end points of a line segment.

The coordinates of the midpoints of the line segment is given by:

$(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$
$\Rightarrow (x,y)=(\frac{-3+5}{2},\frac{2+4}{2})$
$\Rightarrow (x,y)=(\frac{2}{2},\frac{6}{2})=(1,3)$