Question

what is the mid - point of the points (8, - 4) and (2, - 7)?

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 $x_1=8,y_1 = - 4,x_2=2,y_2=-7$.

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

$x=\frac{8 + 2}{2}=\frac{10}{2}=5$.

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

$y=\frac{-4+( - 7)}{2}=\frac{-4 - 7}{2}=\frac{-11}{2}=-5.5$.

Answer:

$(5,-5.5)$