Question

point a is at (-2, -7) and point b is at (7, 4). what is the midpoint of line segment 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, $x_1=-2,y_1 = - 7,x_2=7,y_2 = 4$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-2 + 7}{2}=\frac{5}{2}=2.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-7 + 4}{2}=\frac{-3}{2}=-1.5$.

Answer:

$(2.5,-1.5)$