Question

b(1, 16) and c(13, - 4) are the endpoints of a line segment. what is the mid - point m of that line segment? write the coordinates as decimals or integers. m=( , )

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, $x_1 = 1,y_1=16,x_2 = 13,y_2=-4$.

Step2: Calculate x - coordinate of mid - point

Use the formula for the x - coordinate of the mid - point: $\frac{x_1 + x_2}{2}=\frac{1+13}{2}=\frac{14}{2}=7$.

Step3: Calculate y - coordinate of mid - point

Use the formula for the y - coordinate of the mid - point: $\frac{y_1 + y_2}{2}=\frac{16+( - 4)}{2}=\frac{16 - 4}{2}=\frac{12}{2}=6$.

Answer:

$(7,6)$