Question

find the midpoint m of the line segment joining the points p=(3, - 8) and q=(-1, 8).

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 $x_1 = 3,y_1=-8,x_2=-1,y_2 = 8$.

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

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

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

$y=\frac{-8 + 8}{2}=\frac{0}{2}=0$.

Answer:

$(1,0)$