Question

find the midpoint of the segment with the following endpoints. (-1,2) and (8,6)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-1,y_1 = 2,x_2=8,y_2 = 6$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{-1 + 8}{2}=\frac{7}{2}=3.5$

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

$y=\frac{2+6}{2}=\frac{8}{2}=4$

Answer:

$(3.5,4)$