Question

q(3, 9) and r(5, 9) 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: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Given $Q(3,9)$ and $R(5,9)$, where $x_1 = 3,y_1=9,x_2 = 5,y_2 = 9$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{3 + 5}{2}=\frac{8}{2}=4$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{9+9}{2}=\frac{18}{2}=9$.

Answer:

$(4,9)$