Question

q(13, 11) and r(4, 1) 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 $x=\frac{x_1 + x_2}{2}$. Here, $x_1 = 13$, $x_2=4$. So $x=\frac{13 + 4}{2}=\frac{17}{2}=8.5$.

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 $y=\frac{y_1 + y_2}{2}$. Here, $y_1 = 11$, $y_2 = 1$. So $y=\frac{11+1}{2}=\frac{12}{2}=6$.

Answer:

$(8.5,6)$