Question

question find the midpoint of points a(1,5) and b(7,10) 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 $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$.

Step2: Identify coordinates

Here $x_1 = 1,y_1 = 5,x_2 = 7,y_2 = 10$.

Step3: Calculate x - coordinate of mid - point

$x=\frac{1 + 7}{2}=\frac{8}{2}=4$.

Step4: Calculate y - coordinate of mid - point

$y=\frac{5+10}{2}=\frac{15}{2}=7.5$.

Answer:

$(4, 7.5)$