Question

use the midpoint formula to determine the midpoint of the given line segment. line segment cd with endpoints c(-4, -8) and d(4, 8). > enter the answer in each space provided. use numbers instead of words.

Explanation:

Step1: Recall mid - point formula

The mid - point formula for 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 $x_1=-4,y_1 = - 8,x_2 = 4,y_2=8$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-4 + 4}{2}=\frac{0}{2}=0$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-8 + 8}{2}=\frac{0}{2}=0$.

Answer:

$(0,0)$