Question

a line segment has the endpoints k(13.9, 11.9) and l(-9.9, 6.9). 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 $x_1 = 13.9$, $y_1=11.9$, $x_2=-9.9$, $y_2 = 6.9$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{13.9+( - 9.9)}{2}=\frac{13.9 - 9.9}{2}=\frac{4}{2}=2$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{11.9 + 6.9}{2}=\frac{18.8}{2}=9.4$.

Answer:

$(2,9.4)$