Question

question
find the midpoint of the segment with the following endpoints.
(7, 10) and (2, 5)
answer
attempt 1 out of 2

Explanation:

Step1: Recall mid - point formula

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

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

Here $x_1 = 7,y_1=10,x_2 = 2,y_2 = 5$.

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

$\frac{x_1 + x_2}{2}=\frac{7 + 2}{2}=\frac{9}{2}=4.5$.

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

$\frac{y_1 + y_2}{2}=\frac{10+5}{2}=\frac{15}{2}=7.5$.

Answer:

$(4.5,7.5)$