Question

v(82, -52) and w(49, 58) 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, $x_1=82$, $x_2 = 49$. So, $\frac{82 + 49}{2}=\frac{131}{2}=65.5$.

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, $y_1=-52$, $y_2 = 58$. So, $\frac{-52+58}{2}=\frac{6}{2}=3$.

Answer:

$(65.5,3)$