Question

find the midpoint of points a(-4, -3) and b(-8, 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 $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here, $x_1=-4,y_1 = - 3,x_2=-8,y_2 = 1$.

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

$x=\frac{-4+( - 8)}{2}=\frac{-4 - 8}{2}=\frac{-12}{2}=-6$.

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

$y=\frac{-3 + 1}{2}=\frac{-2}{2}=-1$.

Answer:

$(-6,-1)$