Question

find the midpoint of the line segment joining the points (-3, -1) and (-5,6).
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 $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-3,y_1 = - 1,x_2=-5,y_2 = 6$.

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

$x=\frac{-3+( - 5)}{2}=\frac{-3 - 5}{2}=\frac{-8}{2}=-4$.

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

$y=\frac{-1 + 6}{2}=\frac{5}{2}=2.5$.

Answer:

$(-4,2.5)$