Question

jk has endpoints at j(20, 17) and k(16, 16). find the mid - point m of jk. 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, $x_1 = 20,y_1=17,x_2 = 16,y_2 = 16$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{20 + 16}{2}=\frac{36}{2}=18$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{17+16}{2}=\frac{33}{2}=16.5$.

Answer:

$(18,16.5)$