Question

find the midpoint between: (2, 4) and (-6, -8)

Explanation:

Step1: Recall mid - point formula

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

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

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

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

$y=\frac{4+( - 8)}{2}=\frac{4 - 8}{2}=\frac{-4}{2}=-2$.

Answer:

$(-2,-2)$