Question

Mid-point of the line-segment joining the points $(-5,4)$ and $(9,-8)$ is:

• A. $(-7,6)$
• B. $(2,-2)$
• C. $(7,-6)$
• D. $(-2,-2)$

Answer 1

The correct option is B $(2,-2)$

Midpoint of two points ${(x}_1,y_1)$ and ${(x}_2,y_2)$ is calculated by the formula $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$
Using this formula, mid - point of the line-segment joining the points $(5,4)$ and $(9,8)$ is: $=(\frac{-5+9}{2},\frac{4-8}{2})=(2,-2)$