Question

find the mid - point m of the line segment joining the points c=( - 6, - 2) and d=(4, - 8).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-6,y_1 = - 2,x_2 = 4,y_2=-8$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{-6 + 4}{2}=\frac{-2}{2}=-1$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{-2+( - 8)}{2}=\frac{-2-8}{2}=\frac{-10}{2}=-5$.

Answer:

$M=(-1,-5)$