Question

find the midpoint of the segment with the following endpoints. (2,1) and (10,6)

Explanation:

Step1: Recall mid - point formula

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

Step2: Identify the values of $x_1,y_1,x_2,y_2$

Here $x_1 = 2,y_1 = 1,x_2 = 10,y_2 = 6$.

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

$x=\frac{2 + 10}{2}=\frac{12}{2}=6$.

Step4: Calculate the y - coordinate of the mid - point

$y=\frac{1+6}{2}=\frac{7}{2}=3.5$.

Answer:

$(6,3.5)$