Question

find the coordinates of the midpoint of a segment with the endpoints (5, 11) and (3, 1).

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 5,y_1=11,x_2 = 3,y_2 = 1$.

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

$x=\frac{5 + 3}{2}=\frac{8}{2}=4$.

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

$y=\frac{11+1}{2}=\frac{12}{2}=6$.

Answer:

$(4,6)$