Question

find the midpoint of the segment with the following endpoints. (-3, -8) and (3, -2)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify the values of $x_1,x_2,y_1,y_2$

Here $x_1=-3,x_2 = 3,y_1=-8,y_2=-2$.

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

$x=\frac{-3 + 3}{2}=\frac{0}{2}=0$.

Step4: Calculate the y - coordinate of the mid - point

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

Answer:

$(0,-5)$