Question

question find the midpoint of the segment with the following endpoints. (9, -10) and (1, -6)

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 $x_1=9,y_1 = - 10,x_2 = 1,y_2=-6$.

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

$x=\frac{9 + 1}{2}=\frac{10}{2}=5$.

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

$y=\frac{-10+( - 6)}{2}=\frac{-10 - 6}{2}=\frac{-16}{2}=-8$.

Answer:

$(5,-8)$