Question

find the midpoint of points a(0, -3) and b(7, -7) 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, $x_1 = 0,y_1=-3,x_2 = 7,y_2=-7$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{0 + 7}{2}=\frac{7}{2}=3.5$

Step3: Calculate y - coordinate of mid - point

$y=\frac{-3+( - 7)}{2}=\frac{-3 - 7}{2}=\frac{-10}{2}=-5$

Answer:

$(3.5,-5)$