Question

bc has endpoints at b(19.6, 16.1) and c(8.3, 8.2). find the midpoint m of bc. 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 $x_1 = 19.6$, $y_1=16.1$, $x_2 = 8.3$, $y_2 = 8.2$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{19.6+8.3}{2}=\frac{27.9}{2}=13.95$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{16.1 + 8.2}{2}=\frac{24.3}{2}=12.15$.

Answer:

$(13.95,12.15)$