Question

point a is at (3,4) and point b is at (8, - 4). 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, $x_1 = 3,y_1=4,x_2 = 8,y_2=-4$.

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

$x=\frac{3 + 8}{2}=\frac{11}{2}=5.5$

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

$y=\frac{4+( - 4)}{2}=\frac{4 - 4}{2}=0$

Answer:

$(5.5,0)$