Question

kl has endpoints at k(-3, 4) and l(-15, 1). 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, $x_1=-3,y_1 = 4,x_2=-15,y_2 = 1$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{-3+( - 15)}{2}=\frac{-3-15}{2}=\frac{-18}{2}=-9$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{4 + 1}{2}=\frac{5}{2}=2.5$.

Answer:

$M=(-9,2.5)$