Question

find the midpoint of points a(-6, -10) and b(-2, 0) graphically. plot the line segment ab by clicking twice on the graph. start over

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 $x_1=-6,y_1 = - 10,x_2=-2,y_2 = 0$.

Step2: Calculate x - coordinate of mid - point

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

Step3: Calculate y - coordinate of mid - point

$y=\frac{-10 + 0}{2}=\frac{-10}{2}=-5$.

Answer:

$(-4,-5)$