Question

find the midpoint of the line segment whose endpoints are given. (-7,1), (-2,-4)
the midpoint is
(simplify your answer.)

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 $x_1=-7,y_1 = 1,x_2=-2,y_2=-4$.

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

$x=\frac{-7+( - 2)}{2}=\frac{-7 - 2}{2}=\frac{-9}{2}=-\frac{9}{2}$

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

$y=\frac{1+( - 4)}{2}=\frac{1 - 4}{2}=\frac{-3}{2}=-\frac{3}{2}$

Answer:

$(-\frac{9}{2},-\frac{3}{2})$