Question

question find the midpoint of points a(10,9) and b(4,2) 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, $x_1 = 10,y_1=9,x_2 = 4,y_2 = 2$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{10 + 4}{2}=\frac{14}{2}=7$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{9+2}{2}=\frac{11}{2}=5.5$.

Answer:

$(7,5.5)$