Question

find the midpoint of the segment with the following endpoints. (9,8) and (5,1)

Explanation:

Step1: Recall mid - point formula

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

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

Here $x_1 = 9,y_1 = 8,x_2 = 5,y_2 = 1$.

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

$x=\frac{9 + 5}{2}=\frac{14}{2}=7$.

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

$y=\frac{8+1}{2}=\frac{9}{2}=4.5$.

Answer:

$(7,4.5)$