Question

find the midpoint of points a(-3,8) and b(1,4) 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, $x_1=-3,y_1 = 8,x_2 = 1,y_2=4$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{-3 + 1}{2}=\frac{-2}{2}=-1$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{8 + 4}{2}=\frac{12}{2}=6$.

Answer:

$(-1,6)$