Question

j(3, 2) and k(0, 1) are the endpoints of a line segment. what is the midpoint m of that line segment? 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, $x_1 = 3,y_1=2,x_2 = 0,y_2 = 1$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{3 + 0}{2}=\frac{3}{2}=1.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{2+1}{2}=\frac{3}{2}=1.5$.

Answer:

$(1.5,1.5)$