Question

find the midpoint of the segment with the following endpoints. (7, 9) and (1, 5)

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 $x_1=7,y_1 = 9,x_2=1,y_2 = 5$.

Step2: Calculate x - coordinate of mid - point

Calculate $\frac{x_1 + x_2}{2}=\frac{7 + 1}{2}=\frac{8}{2}=4$.

Step3: Calculate y - coordinate of mid - point

Calculate $\frac{y_1 + y_2}{2}=\frac{9+5}{2}=\frac{14}{2}=7$.

Answer:

$(4,7)$