Question

a line segment has the endpoints q(6, 4) and r(8, 10). find the coordinates of its midpoint m. 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, $x_1 = 6,y_1 = 4,x_2 = 8,y_2 = 10$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{6 + 8}{2}=\frac{14}{2}=7$.

Step3: Calculate y - coordinate of mid - point

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

Answer:

$(7,7)$