Question

question 1 - 3. a line segment has the endpoints b(16,8) and c(12,16). find the coordinates of its midpoint. write the coordinates as decimals or integers.

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1 = 16$, $y_1 = 8$, $x_2 = 12$, and $y_2 = 16$.

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

$x=\frac{16 + 12}{2}=\frac{28}{2}=14$.

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

$y=\frac{8+16}{2}=\frac{24}{2}=12$.

Answer:

$(14,12)$