Question

find the midpoint of the segment with the following endpoints. (-1, -1) and (5, -5)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify values of $x_1,x_2,y_1,y_2$

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

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

$x=\frac{-1 + 5}{2}=\frac{4}{2}=2$.

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

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

Answer:

$(2,-3)$