Question

q(15, 4) and r(8, 10) 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, $x_1 = 15,y_1 = 4,x_2 = 8,y_2 = 10$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{15 + 8}{2}=\frac{23}{2}=11.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{4+10}{2}=\frac{14}{2}=7$.

Answer:

$(11.5,7)$