Question

q(4, 1) and r(8, 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 $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1 = 4,y_1 = 1,x_2 = 8,y_2 = 9$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{4 + 8}{2}=\frac{12}{2}=6$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{1+9}{2}=\frac{10}{2}=5$.

Answer:

$(6,5)$