Question

q(16, 3) and r(5, 19) 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 $x=\frac{x_1 + x_2}{2}$. Here, $x_1 = 16$ and $x_2=5$, so $x=\frac{16 + 5}{2}=\frac{21}{2}=10.5$.

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 $y=\frac{y_1 + y_2}{2}$. Here, $y_1 = 3$ and $y_2 = 19$, so $y=\frac{3+19}{2}=\frac{22}{2}=11$.

Answer:

$(10.5,11)$