Question

a line segment has the endpoints k(12.5, -0.4) and l(12.6, 11.3). 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 $x_1 = 12.5$, $y_1=-0.4$, $x_2 = 12.6$, $y_2 = 11.3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{12.5 + 12.6}{2}=\frac{25.1}{2}=12.55$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-0.4+11.3}{2}=\frac{10.9}{2}=5.45$.

Answer:

$(12.55,5.45)$