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 $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

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

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

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

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

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

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

Answer:

$(5,-8)$