Question

point a is at (-6,2) and point b is at (8,10). what are the coordinates of the mid - point of $overline{ab}$? enter the answer in each space provided. use numbers instead of words.

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, $x_1=-6,y_1 = 2,x_2 = 8,y_2=10$.

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

$x=\frac{-6 + 8}{2}=\frac{2}{2}=1$

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

$y=\frac{2+10}{2}=\frac{12}{2}=6$

Answer:

$(1,6)$