Question

find the mid - point m of the line segment joining the points c=(1,2) and d=(-5,-4).

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, $x_1 = 1,y_1 = 2,x_2=-5,y_2=-4$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{1+( - 5)}{2}=\frac{1 - 5}{2}=\frac{-4}{2}=-2$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{2+( - 4)}{2}=\frac{2 - 4}{2}=\frac{-2}{2}=-1$.

Answer:

$M=(-2,-1)$