Question

find the midpoint of the segment with the following endpoints. (-1, -2) and (4, 8)

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 $x_1=-1,y_1 = - 2,x_2=4,y_2 = 8$.

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

$x=\frac{-1 + 4}{2}=\frac{3}{2}=1.5$

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

$y=\frac{-2+8}{2}=\frac{6}{2}=3$

Answer:

$(1.5,3)$