Question

v(20, 14) and w(12, 17) 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: Find 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, $x_1=20$ and $x_2 = 12$. So, $\frac{20 + 12}{2}=\frac{32}{2}=16$.

Step2: Find 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, $y_1=14$ and $y_2 = 17$. So, $\frac{14+17}{2}=\frac{31}{2}=15.5$.

Answer:

$(16,15.5)$