Question

find the midpoint between: (5, -9) and (10, -1)

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 $x_1 = 5,y_1=-9,x_2 = 10,y_2=-1$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{5 + 10}{2}=\frac{15}{2}=7.5$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{-9+( - 1)}{2}=\frac{-9 - 1}{2}=\frac{-10}{2}=-5$.

Answer:

$(7.5,-5)$