Question

What are the coordinates of the midpoint of the line segment joining the points $(-1,4)$ and $(7,-3)$?

• A. $(3,\frac{1}{2})$
  
• B. $(\frac{1}{2},3)$
  
• C. $(1.5,\frac{1}{2})$
  

Answer 1

The correct option is A $(3,\frac{1}{2})$


Midpoint of two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$.

Here, $x_1=-1,x_2=7,y_1=4$ and $y_2=-3$.

Midpoint $=(\frac{(-1)+7}{2},\frac{4+(-3)}{2})$

Midpoint $=(\frac{6}{2},\frac{1}{2})$

Midpoint $=(3,\frac{1}{2})$