Question

question
find the midpoint of the segment with the following endpoints.
(-4,8) and (6,4)

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 $x_1=-4,y_1 = 8,x_2=6,y_2 = 4$.

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

$x=\frac{-4 + 6}{2}=\frac{2}{2}=1$.

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

$y=\frac{8 + 4}{2}=\frac{12}{2}=6$.

Answer:

$(1,6)$