Question

find the midpoint of the segment with the following endpoints. (-2, -10) and (8, -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 the values of $x_1,y_1,x_2,y_2$

Here $x_1=-2,y_1 = - 10,x_2 = 8,y_2=-4$.

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

$x=\frac{-2 + 8}{2}=\frac{6}{2}=3$.

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

$y=\frac{-10+( - 4)}{2}=\frac{-10 - 4}{2}=\frac{-14}{2}=-7$.

Answer:

$(3,-7)$