Question

find the midpoint of the segment with the following endpoints. (-4, -7) and (4, -2)

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 $x_1=-4,y_1 = - 7,x_2 = 4,y_2=-2$.

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

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

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

$y=\frac{-7+( - 2)}{2}=\frac{-7 - 2}{2}=\frac{-9}{2}=-4.5$.

Answer:

$(0,-4.5)$