Question

kl has endpoints at k(-2, -4) and l(-8, -6). find the midpoint m of kl. write the coordinates as decimals or integers. m = ( , )

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, $x_1=-2,y_1 = - 4,x_2=-8,y_2=-6$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

$y=\frac{-4+( - 6)}{2}=\frac{-4 - 6}{2}=\frac{-10}{2}=-5$.

Answer:

$(-5,-5)$