Question

kl has endpoints at k(0, 2) and l(11, 15). find the midpoint m of kl. 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, $x_1 = 0,y_1 = 2,x_2=11,y_2 = 15$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{0 + 11}{2}=\frac{11}{2}=5.5$

Step3: Calculate y - coordinate of mid - point

$y=\frac{2+15}{2}=\frac{17}{2}=8.5$

Answer:

$(5.5,8.5)$