Question

question
find the mid - point of the segment with the following endpoints.
(10,4) and (4,10)

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 $x_1 = 10,y_1 = 4,x_2 = 4,y_2 = 10$.

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

$x=\frac{10 + 4}{2}=\frac{14}{2}=7$.

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

$y=\frac{4+10}{2}=\frac{14}{2}=7$.

Answer:

$(7,7)$