Question

r(5, 6) and c(1, 10) 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, $(x_1,y_1)=(5,6)$ and $(x_2,y_2)=(1,10)$.

Step2: Calculate x - coordinate of mid - point

For the x - coordinate of the mid - point, we have $x=\frac{5 + 1}{2}=\frac{6}{2}=3$.

Step3: Calculate y - coordinate of mid - point

For the y - coordinate of the mid - point, we have $y=\frac{6+10}{2}=\frac{16}{2}=8$.

Answer:

$(3,8)$