Question

find the midpoint of the segment with the following endpoints. (7,6) and (3,2)

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 $x_1=7,y_1 = 6,x_2=3,y_2 = 2$.

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

$x=\frac{7 + 3}{2}=\frac{10}{2}=5$.

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

$y=\frac{6+2}{2}=\frac{8}{2}=4$.

Answer:

$(5,4)$