Question

find the midpoint of the line segment shown below. midpoint = question help: message instructor > next question

Explanation:

Step1: Identify endpoints

The endpoints of the line - segment are (-3, 5) and (-1, -4).

Step2: Use 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 $x_1=-3,y_1 = 5,x_2=-1,y_2=-4$.
Calculate the x - coordinate of the mid - point: $\frac{-3+( - 1)}{2}=\frac{-3 - 1}{2}=\frac{-4}{2}=-2$.
Calculate the y - coordinate of the mid - point: $\frac{5+( - 4)}{2}=\frac{5 - 4}{2}=\frac{1}{2}=0.5$.

Answer:

$(-2,0.5)$