Question

find the midpoint of the line segment joining the points (-1, -2) and (-5,7).
the midpoint is
(simplify your answer. type an ordered pair.)

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 $x_1,y_1,x_2,y_2$

Here, $x_1=-1,y_1 = - 2,x_2=-5,y_2 = 7$.

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

$x=\frac{-1+( - 5)}{2}=\frac{-1 - 5}{2}=\frac{-6}{2}=-3$.

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

$y=\frac{-2 + 7}{2}=\frac{5}{2}$.

Answer:

$(-3,\frac{5}{2})$