Question

find the midpoint of points a(-9, -2) and b(-5, 4) 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, $x_1=-9,y_1 = - 2,x_2=-5,y_2 = 4$.

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

$x=\frac{-9+( - 5)}{2}=\frac{-9 - 5}{2}=\frac{-14}{2}=-7$.

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

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

Answer:

$(-7,1)$