Question

find the midpoint of the segment with the following endpoints. (3, - 10) and (-2, -5)

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 $x_1 = 3,y_1=-10,x_2=-2,y_2 = - 5$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{3+( - 2)}{2}=\frac{3 - 2}{2}=\frac{1}{2}$

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

$y=\frac{-10+( - 5)}{2}=\frac{-10 - 5}{2}=\frac{-15}{2}=-7.5$

Answer:

$(\frac{1}{2},-7.5)$