Question

find the midpoint of the segment with the following endpoints. (9, 5) and (1, 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 $x_1=9,y_1 = 5,x_2=1,y_2 = 1$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{9 + 1}{2}=\frac{10}{2}=5$

Step3: Calculate y - coordinate of mid - point

$y=\frac{5+1}{2}=\frac{6}{2}=3$

Answer:

$(5,3)$