Question

find the midpoint of points a(-9, -7) and b(-2, -1) graphically. plot the line segment ab by clicking twice on the graph.

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

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

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

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

$y=\frac{-7+( - 1)}{2}=\frac{-7 - 1}{2}=\frac{-8}{2}=-4$.

Answer:

$(-5.5,-4)$