Question

point a is at (3, -8) and point b is at (7, 3). what is the midpoint of line segment $overline{ab}$?

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, $x_1=3,y_1 = - 8,x_2=7,y_2 = 3$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{3 + 7}{2}=\frac{10}{2}=5$

Step3: Calculate y - coordinate of mid - point

$y=\frac{-8 + 3}{2}=\frac{-5}{2}=-2.5$

Answer:

$(5,-2.5)$