Question

find the midpoint of points a(10, 4) and b(0, -6) 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 $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1 = 10,y_1 = 4,x_2 = 0,y_2=-6$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{10 + 0}{2}=5$

Step3: Calculate y - coordinate of mid - point

$y=\frac{4+( - 6)}{2}=\frac{4 - 6}{2}=-1$

Answer:

$(5,-1)$