Question

find the midpoint of the segment with the following endpoints. (-2, -4) and (-6, 4)

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 $x_1,y_1,x_2,y_2$

Here, $x_1=-2,y_1 = - 4,x_2=-6,y_2 = 4$.

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

$x=\frac{-2+( - 6)}{2}=\frac{-2 - 6}{2}=\frac{-8}{2}=-4$.

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

$y=\frac{-4 + 4}{2}=\frac{0}{2}=0$.

Answer:

$(-4,0)$