Question

find the midpoint of points a(7, 2) and b(10, -8) 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 $x_1 = 7,y_1=2,x_2 = 10,y_2=-8$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{7 + 10}{2}=\frac{17}{2}=8.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{2+( - 8)}{2}=\frac{2 - 8}{2}=\frac{-6}{2}=-3$.

Answer:

$(8.5,-3)$