Question

Co-ordinates of the mid point of the line segment joining the points (-5, 4) and (7, -8) are

(A) (-1, -2)

(B) (-1, 2)

(C) (1, -2)

(D) (1, 2)
 

Answer 1

Correct option is (C) (1, -2) 

Midpoint of two points \((x_1, y_1)\ \text{and}\ (x_2,y_2)\) is calculated by formula \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

Using this formula, mid-point of the the line-segment joining the points (-5, 4) and (7, -8) is: 

\(=(\frac{-5+7}{2}, \frac{4+(-8)}{2})\)   

\(=(\frac{2}{2}, \frac{-4}{2})\)   

= (1, -2)