Question

find the midpoint of points a(0, -1) and b(6, -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, $x_1 = 0,y_1=-1,x_2 = 6,y_2=-7$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{0 + 6}{2}=\frac{6}{2}=3$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-1+( - 7)}{2}=\frac{-1 - 7}{2}=\frac{-8}{2}=-4$.

Answer:

$(3,-4)$