Question

find the midpoint of points a(9, -2) and b(3, -10) 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, $x_1=9,y_1 = - 2,x_2=3,y_2=-10$.

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

$x=\frac{9 + 3}{2}=\frac{12}{2}=6$.

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

$y=\frac{-2+( - 10)}{2}=\frac{-2 - 10}{2}=\frac{-12}{2}=-6$.

Answer:

$(6,-6)$