Question

find the midpoint of points a(-9, -7) and b(-2, -1) graphically. click and drag to draw a rectangle with the segment as a diagonal.

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify coordinates

Here $x_1=-9,y_1 = - 7,x_2=-2,y_2=-1$.

Step3: Calculate x - coordinate of mid - point

$x=\frac{-9+( - 2)}{2}=\frac{-9 - 2}{2}=-\frac{11}{2}=-5.5$.

Step4: Calculate y - coordinate of mid - point

$y=\frac{-7+( - 1)}{2}=\frac{-7 - 1}{2}=-4$.

Answer:

$(-5.5,-4)$