Question

s(62, 30) and t(44, 47) are the endpoints of a line segment. what is the midpoint m of that line segment? write the coordinates as decimals or integers. m = ( , )

Explanation:

Step1: Calculate x - coordinate of mid - point

The formula for the x - coordinate of the mid - point of a line segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{x_1 + x_2}{2}$. Here, $x_1=62$ and $x_2 = 44$. So, $\frac{62 + 44}{2}=\frac{106}{2}=53$.

Step2: Calculate y - coordinate of mid - point

The formula for the y - coordinate of the mid - point of a line segment with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{y_1 + y_2}{2}$. Here, $y_1=30$ and $y_2 = 47$. So, $\frac{30+47}{2}=\frac{77}{2}=38.5$.

Answer:

$(53,38.5)$