Question

find the midpoint of the line segment with the given endpoints. 6) (-3, 2), (-2, 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 values of $x_1,x_2,y_1,y_2$

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

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

$x=\frac{-3+( - 2)}{2}=\frac{-3 - 2}{2}=\frac{-5}{2}=-2.5$.

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

$y=\frac{2 + 2}{2}=\frac{4}{2}=2$.

Answer:

$(-2.5,2)$