Question

use the midpoint formula to determine the midpoint of the given line segment. line segment ef with endpoints e(-5.4, 7.2) and f(2.9, -1.6). > 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 $x_1=-5.4,y_1 = 7.2,x_2=2.9,y_2=-1.6$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-5.4 + 2.9}{2}=\frac{-2.5}{2}=-1.25$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{7.2+( - 1.6)}{2}=\frac{7.2 - 1.6}{2}=\frac{5.6}{2}=2.8$.

Answer:

$(-1.25,2.8)$